Maths-
General
Easy
Question
Hint:
Hint :- Using pythagoras theorem in triangle AEC and AED we find AC2 and AD2 and do
equation to get the required result.
The correct answer is: Hence proved
Aim :- Prove that ![A D squared equals A C squared plus B D times C D](data:image/png;base64,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)
Explanation(proof ) :-
In triangles ABE and ACE ,
∠AEB = ∠AED = 900 (Right angle)
AB = AC (given) (Hypotenuse)
AE = AE (common side)
By RHS , ΔAEB ≅ ΔAEC
By congruence , BE = EC
Applying pythagoras theorem in triangle AEC we get,
— Eq1
Applying pythagoras theorem in triangle AED we get,
— Eq2
![](data:image/png;base64,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)
Doing Eq2-Eq1 we get , ![A D squared minus A C squared equals E D squared plus A E squared minus A E squared minus E C squared](data:image/png;base64,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)
![not stretchy rightwards double arrow A D squared minus A C squared equals E D squared minus E C squared equals left parenthesis E D plus E C right parenthesis left parenthesis E D minus E C right parenthesis](data:image/png;base64,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)
Substitute ED-EC = CD
![open not stretchy rightwards double arrow A D squared minus A C squared equals left parenthesis C D right parenthesis left parenthesis E D plus E C right parenthesis text [substitute end text EC equals BE text from above result end text close square brackets](data:image/png;base64,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)
![not stretchy rightwards double arrow A D squared minus A C squared equals left parenthesis C D right parenthesis left parenthesis E D plus B E right parenthesis](data:image/png;base64,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)
![A D squared minus A C squared equals B D times C D](data:image/png;base64,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)
![therefore A D squared equals A C squared plus B D times C D](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKwAAAARCAYAAABAZUdzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAwBJREFUeNrtWTFoFEEUHUIIIiJYSAghCBJCKrERsZA0QYKIhIBIEAkSsBALi4BYpRAbsQgigsgRUgThEAsJacRCRGwkBAuLgIilTRA5JEhg/R9fcBhmZmdmd2duYR48SG7n9t5/++fPn1kh2oMC/EP8QBwX7ULb9WcEYoB4i7iV9We0CXtZf0ZbMEV8l/VnNIE7DpWmkNgjdoknDONH0AOe7KMYBPQ8JG4TfxO/E+8TjyXSz77uQ8dX4mv8dhXvQ+HqTSw9RlzFJmPQcH0cQcj9HZt6G0HNKeMniBsa41PGwFiCrvOIgTGGRF9NoF/1VSBBVit4HwpXb2LpMYJnz2fiG+KsYQx/vm64doX4SwqSxW8Sj0ZMVpcY7hKfO9yriv7Cc7zO1znlMx/vQ+HqTa16igDDGM+I88QF4hPDmGXMQBN4STiDv/lhT0ZuZ8pimMByO+hwryr6ff1fRrLIWCPOBHofAh9vatUTkrDnsAwwhiFcB+5PLlvu85Y4regoHDQVDqwjhkeO/a0I1BCasF1ULK5Ip4kdjU4f70Pg400MPUbwjPqEPuUAW4bqslPSz30jHk+wUXSN4YuI8wLAN2F3lI3LTALvfb1Jlgu60v5A/DssF0pT3bPc5zDxR6KTDZcYBkRzZ6lVVgjZ1yFUpY9YomN57+tNslyYFPo3OFM4VpFxFmXehAWPhr3OB+4awxA2AjHgU2F1vl7DsVId3i+iPRq2fN/XmyZzwYr3lgRRj4bm0VuZwLvzUwmqq08MPcz+fkpYna/XlQdexfslVLuxEh0+3lTKBVsFmsW1F5prN4krlh/l71yU/n9MvGEYu1Jyr6bgG0OnZGebImF1vnaQFDG99/Gmkp6QhB3BLDhiue+i8sOvlM0ALyMXcPzzNEGyhsTAb2B2iffE/7c2h4iX8MCmEySs7CtvUvgMcxv+xvTex5voudCFEBtGsRM8wK40OfaxzKzjOCkFQmIQ2AmvoWfjWH4SXyqVOCZkX/dQXEYtY5r03tWbfsuFjIx68Bd7ojO/25LH8AAAAPN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIzNDs8L21vPjxtaT5BPC9taT48bXN1cD48bWk+RDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+PTwvbW8+PG1pPkE8L21pPjxtc3VwPjxtaT5DPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bWk+QjwvbWk+PG1pPkQ8L21pPjxtbz4mI3gyMkM1OzwvbW8+PG1pPkM8L21pPjxtaT5EPC9taT48L21hdGg+mdqLKgAAAABJRU5ErkJggg==)
Hence proved
Hence proved
Related Questions to study
Maths-
D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C . Prove that
![A E squared plus B D squared equals A B squared plus D E squared](data:image/png;base64,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)
D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C . Prove that
![A E squared plus B D squared equals A B squared plus D E squared](data:image/png;base64,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)
Maths-General
Maths-
A square technology chip has an area of 25 square centimetres. How long is each side of the chip ?
A square technology chip has an area of 25 square centimetres. How long is each side of the chip ?
Maths-General
Maths-
In the given figure,
: 3. Find
.
![](data:image/png;base64,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)
In the given figure,
: 3. Find
.
![](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Would you classify the number 169 as a perfect square , a perfect cube , both or neither ?
Would you classify the number 169 as a perfect square , a perfect cube , both or neither ?
Maths-General
Maths-
A farmer has a square plot of land, where he wants to grow five different crops at a time. One-half of the area in the middle, he wants to grow wheat but in rest of the four equal triangular parts, he wants to grow different crops. p and q are the mid-points of sides CA and CB respectively of a triangular part ABC right-angled at c . Prove that
.
A farmer has a square plot of land, where he wants to grow five different crops at a time. One-half of the area in the middle, he wants to grow wheat but in rest of the four equal triangular parts, he wants to grow different crops. p and q are the mid-points of sides CA and CB respectively of a triangular part ABC right-angled at c . Prove that
.
Maths-General
Maths-
A trophy store wishes to make brass medallions, each of mass 17.5 g, from 140 kg of brass. How many medallions can be made?
A trophy store wishes to make brass medallions, each of mass 17.5 g, from 140 kg of brass. How many medallions can be made?
Maths-General
Maths-
Maths-General
Maths-
A large mixer at a bakery holds 0.75 tonnes of dough. How many bread rolls, each of mass 150 g,can be made from the dough in the mixer
A large mixer at a bakery holds 0.75 tonnes of dough. How many bread rolls, each of mass 150 g,can be made from the dough in the mixer
Maths-General
Maths-
What is the special case when SSA condition works to
prove the triangle congruence? What do the sides and the angle represent
that case?
What is the special case when SSA condition works to
prove the triangle congruence? What do the sides and the angle represent
that case?
Maths-General
Maths-
If two sides and the included angle of one triangle are
congruent to two sides and the included angle of a second triangle, then the
two triangles are congruent by
If two sides and the included angle of one triangle are
congruent to two sides and the included angle of a second triangle, then the
two triangles are congruent by
Maths-General
Maths-
In
and
. Hence find the measure of each angle
In
and
. Hence find the measure of each angle
Maths-General
Maths-
Benjamin fills his car with 50 litres of petrol. How much does it cost him if petrol is selling at 94.6pence per litre?
Benjamin fills his car with 50 litres of petrol. How much does it cost him if petrol is selling at 94.6pence per litre?
Maths-General
Maths-
Prove that △ CAB ≅△ CAD
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMYAAADmCAYAAACON/prAAAgAElEQVR4nOydd5xU1fn/3+ecO7OdotKrVBWkS7EXLIhUe4mxJGqMJQIaE1N/+SYae6+xxYYgTRBQjF1URIoKIiJSRFBR+paZe87z++PcmV0IGERgd9n79nXdZXdmdube89xzzlM+jxIRISYmZjN0Zb+BmJiqSGwYMTFbITaMmJitEBtGTMxWiA0jJmYrxIYRE7MVYsOIidkKQWW/gWqJZP7nECU4DIgCEbSyKAlxolAmiaBQAgohEzBSSlXee4/ZLuIZY0eQ6CDEkcaKEFoQFCIWXClaLFYUpaFgnTcicMTR1OpBPGP8BDKD3CCICNqB1palS5Yzc+ZHuEQ+B/XpQ9PGDbCiNntePGdUbeIZYwcQBU5ARKNEo5xFi0W7kJJNG7nvvoe45NIrueLyK3nqiacpTYVYpbFK45SDeN6o8sSGsYP41ZQGp1DiUCoFKs38uXMZO24y3XsdRv169Xj6yX8zb/58HGAr+03HbDexYewgohWg0SpAAUpCbLqEiRMmUZp2XHzpJfz8nDNYtngh48aOpzhtcQJYiZdR1YDYMHYAUYIo5we4aL9hSMCnn33KuElT6X3YERx6eB9OOPYwWjdryIRx41iydAVagULFK6lqQGwYO0TGyxR9qwxlpSU8M2o0364tYdApJ7N37SLatGnOyYP7sfyLz3n++amkUw7l4vmiOhAbxg4hKKTcvaQNc+Z+yNjnJ7Hfgd3offAhgCNZmMPAQSfSollTxo4ew8JPF2OMJvZJVX1iw9gBnANnBZEQCCkr3sik56fy2cKlHNCxExvWrWf+ggUsmr+YnEQRHfZry8cz32Xi85MoDQUnDmtt9oipeqi4gu/HY0WwzqKxBDjmf/QRZ5x5Dqu+30T7jl0pyMsFW0wgIYGCdevX8/7sj2nboTsPPfIw3Q5sg02nUUqhlMIYU9kfKWYL4gDfDqCU8u5aJ2AUkydPYenS5fz6qqs57exz0EYRSNrHNnBs2riRv/6/G5k87VVenvYSXTq0RmtN5p4kInGaSBUjnjF2AOsEJ5ZAKz6d9xGnn3YaeflFPPTYExzQ8QAECChPAwGYNHEy555/ES1btWXMqKdo2aIZ6XSIMSaeMaog8YyxA3i3q0YpWP3d9/Ts3Yejju5Lu3ZtSYcOlANlAYcWh0Jx+OGH8sc//I65H37M2rVroUVzjDHxTFFFiWeMHUUAHOl0ijAMSSRz0CaBQ3BYlAtx1uKsJZlMYkxAOrSkU45kMkEQxPekqkxsGDtKNoe8/J+C+NQPG4IIBoW1IclEgFIGlCJ21VYPYnftTyFKPxch2kgLGocxAQs/W8zyFSvRJoFgIMqrIs4hrBbEhrEjZOoxVFSfpMpHusbw5fLlXP+P67nxnzezatW33gNV8bkxVZ54obsjZG78PlkKEQdOUEqzdt067r7jTsaOepaABPXr1OXKq6+gqG4txCmMGEy8nKryxDPGjhIZBTh0tLvQSjF16ov8+8mnCUNHmE7z6CMPM278eEJnCbE4ZLMZJqZqEhvGDuKTzqMTKI5AaxYu/Iy7776H1d+tIcgrABPw1dffcNc9DzDnw3kktEGJzeYfxlRdYsPYQZSAEoUShdaGb775lhtvvJmZsz6ke+9DqdeoKaIDOnY9iCXLVnHTTXeyYsXXBIGPf8RUbWLD2BHEp4OI9cmAqbIUTz75DKNGjaNV+wM5of8QatWqgxPoefDhHH70SUwa/zL33P0gmzZuACU450in0zjniD3mVY/YMHYAAawDJ4ISeOvN6dxz90OY3L3oP/Rn1Gu0L4jGoUjkFnHsiafRpsPBPPTwU4wZNwFrLWEYZr/G0e+qR2wYO4hDUIFmxcqV3Hrbnaz8bgP9hpxF6/17kbYJjDIoAesCCus0Zchpv6Regzbccus9zJo1O5sjVTGZMKbqEBvGDuAUiFHeNXvvvUz7z6sccujR9DnsOKwuBHJQUVDPiaEsHdCw6f4MOvVcvluzkRtvvJkvv1xOEATZ1POYqkVsGNuJOImi3OJVQVyKCRMm8MgjT9G81YEcfeKpJPLrkHIap3JAG8AiGJw2iFK0bt+Fo/ufziuvv8td9zzI2nXrAcG5EBHBiRBPHlWD2DC2gUTpgBky+4EwHaKVY+H8udx15904VcSJQ39BnYbtKZMEYhyhSUAQgEp7LSnjEJXCqQI6HTqQHoedxFMjJ/D8pCloDeJCnE1H6eyxZVQFYsP4n0R1FQrAoo2w+tvV3HHXAyz8fAXHDTiVdh27YyVAxO8rdBCgA4OvDVeIcv4QyMkr4ph+Q2jacj/uvvshZs3+GG0C752yIUgc5KgKxIaxDRTaS91kio2URQeK0rJSHnn8SZ4dM43uB/ej56HHokwBVvzjtSgCZdDalEvcViAdCoV1G3HCoHP4boPjz3+5gc8WLcUEGkij4uhflSA2jB/Eb4oFX7GHUrz51pvc98C/qNOgFcecdCqJgn1IiQYM2Xh4xhpksy/Z10yTQ8Pm+9G3/2m8O3M+9z/4GMXFpQTaoON0kSpBbBjbwDkfvHPOEdqQIEjy5VeruO32e1lf7Oh/8jnUrd+ctBisF9OJsm6FIAjISSZQKspJr4CgSLuAkBw6dj+UQ/oOZPSYKUya/DJaG7/PcC7792NXbuUQG8Y2UKJ81iyglGHtho3cdOudvPPeh5w06Cw6HNgDh8FlO1/4JZcSi1IKraNTqzYvTfJCCooyKzidy5HHDqJl+678v7/dyhtvz8QESYDNhBJidj+xYWwTAXGRcSgmvfAijz/2LE2btKVTp55oFAZHoB2BEdChr/NWglYKpTSIyiqKlL+qgHIoowmdIsirw7H9T2VDSvOXv/6TRYuWoJTCuYxRxjGOyiA2jIpI+SGAUhqtNUuXLuPJJ56h3j5NaNK8Pa9Me5PZH3zAd1+vwqZKUJJGK0FrUEowRmECr/whkllO+cMro1sUDq0TWNHUa9CMIaeczYKFy7j9znvZtGmTN47YQ1Vp1OBCpczOWG3+o8zt3TmUElKh4/5/Pconny3jlLMvpVnzTsyf9xlffLGATz79hLp770PTps2oV78BtWvVJpFMoHXSS3FqCEiToyxlugxUmgQBiEUpjRCiRdCEdOjYmZVHHsfIkaPZv00LfvHLCzGJBM4JSiu/X0Gys1DMrqXmGsYWS3dxkehZxl5sSMqmGT1hIiOfm0TPI06i5QHdQNWlS+9GdOq6P8uWfs6SpUtZ8vlnLF60kMAkKCzIp1ZhPt+t/g5MwNcrl7J80UJcjiIZBOh0HkIIYilLlVG6cSOlJRvZsH4dm0qEgtoNuPue+9m/QweOOOIIFD4AiFb+TYuODWM3UHMN47/KS6X8xwpMMsE7r73LDTfcSdMWHehz+AkolYcVAQkxiRxatz+AfdvuT3FxMevXr2fDhvWUFpcSlhbTsGEzFibzWbXqW+ycj9hki1FO0GEuSlkEhwkMiURAYAxFhUW069SNAzrtz/iRD3LnPQ/Rat/WtNy3KTjnU0tUrEO1u6jBhlERh9Iu2lcoUIoVX63i1jvuJ3T5nHjS2eTn1SPlDEoJVtI4pXECWhty8hPUy69Fg8YKEchV0KRBPu9Pf5mOHbty4EHHs7ZsHc46ApsHxm/Uk4kkiZxctEmQCAKsAk2a44aWMf7JB3n44Uf50x9HkEj67q+hUwSxAs9uoWYbRoUukYLDiUNQFBeXce+Dj/DRvC849ZxfUa9BG9I2x6uCSAqlARVgRUXuWu+5stFeOS2Cc94rlZPIpahWHbA5KIQgzEOpNE6HgCIUhUNTJj5AKCqgdaeDOeSYlYwa/Tyd9m/N0FOHopImO5vF7HpirxRAZBSptCUdCiNHjuWRx0Zz8NEn0apdF0K89wiUL0vVXkFKlPZSCMqUHxj/u0hbx1nJJgeKKMQprIBzmlD8a4jSED3fugDRhfQ4tC/1mrfj7zfeybvvzUKhUFGGb8yuJzYM8DMBCpPI4f2ZH3LPPY/QvFUXeh9+AiqZT8qFiHY45bID3qeAREJq2a+ZQ2UPl4mKR19FKVzGGDZ7DYcSh0bhLBTWqk/fAaez0eVy0x0PsmLlNwRGoeKA326hZhtGNqdJo3WC779fzw3/vJ1Qchgw5CxMsjal1qGTYHUZotKgBCUmm/7xX0dGrFO5jGJC9vC9+8BisASARgkY5zDOEjhLjrIE4rCi2btxa/qd8nPemzWfe+9/AJsuQ+vYMHYHNdswABBQsKm4hOtvuIVZsxcwYNBZNGjQGidBlOjhOyd5BXNQojebHzY/KkQJiYwjE9wjCvip8kdmZT0RDBbt0iSUYB2kdA6tOx3EIX1P5OGH/80zTz6zzQ5MW8vkjdlxaqxhZJIDwVJSVsKTI59h9NhJHNH3ZFq06UOZJHFaYUyAsxqjEmgJUBi/klJu6weCEp8wgo6KncSAJBDRKBW1BojSR7yqoRdOsGicAlToC6VEg8uh9yHH0qpNd+657wmmT58B+ATDMB1mrcFFpVWxcewcaqxhqKjwCKWY8cEs7rv/EfZt14k+R/RDJYtwKgqooQl0AiUGlTld/zM1fMsGlH7HrjI/U1LBwaRAK0Rrf+DzqbzX2Hu6CorqcdLJP2N9ScDNt93D6u++9/G+bGOajHstdlntLGqsYUhUfLTiq1Xccst9lKVyGTT0XHILa1HqSrESVtp7yw5xAacMZVaxV6OWHD/4NN6dMY/b73iADRs3onUIKgWZ1BKJTWNnUWMNQ2vFurVruOuu+5gz53OO738ORXWbUCbgjAPjKm2UZeYTiVzBoQoIdS4t9+vKEccM4t+Pj2bc+Emk02WAXw6qSOMqZudQYwxDRLwSR5TO7Zxj/PMv8NQzYzj0yP6069ibMpdDKCCm4gZ6B8ikXMmOvEbGKJT/L4p1pMSgc2pzyNED2LdtV+66+0FmfzgP0EhU2BSz86hRhpGpigN4f+Zs7r7vcVq1707Pw4/HmTycSnqP0U6486otvm73+8T7qfwOP9prRP6uUAyJ/L04btAZbCwLuOmWe1jx1df+d9ZinYvld3YSNcYwwBuHr69Ywj+uv4kym0/fE08hyK9FGnDae3VUpa7VNUJGWEHQ4tAifqmEEIpm70YtOKb/abz7/gLuvOsR1m0oRRuFKBulp8f8VGqMYSjli4c2btzAvffcw1tvv8/xJ53FPo1ak8bgDDjlB5+RCuGH3f9OyQgr+F2GRUuIEZ+qbrWmxBk6dD2YPof359HHRjF+4tRIoqfyHAZ7Gnu0YbhoX5GJSiuBsWMnMXrcZI7rfyrtOh6E1Tk+X0ky0QRf711Zc4ZUENBRAlqIMq/EJ46IBRXgyOWQI/vT5oCe3HXXA8yaNYeENljnIKNqmK1Fj8N/P5Y91jCcQNoKqXRImEqjlObDufP5503307RNL3r3PYV0kEtIgBJFAoURv+XN5jJVQu2DUoKK0klE+/eSOUQrTNQNMy0BQWE9jh14JhtLDP/46018u/I7QFGWTpOyZYQuxPk+ssRdMX8ce6xhKAUmGts6UCxetJgRI67D6Tz6nngyOQV746KyVqVUhbQ/KsUgKqK2/EdUI+JxKAWiNJaAhk1acfxJp/DWjA+55bZ7WL9uPYHRaAETLQ0l2/8pjnJsL3uuYSAoSRNoYc2addz/4GN8+Mnn9B96Nvs0akVZunpGijMScL75DKRE0b7TQRx94ik8O24KL0ycgrMOo9Vmcp+CiueLH8EeaxhZV6eCSZNfYuTYSRzV72TaduhOyuUQSrC5EEI1QVWQMRGlsRJggwIO7juQxq07cuvt9zLv408wOqgwE8ZG8WOpdoZRUYisYpsuEcFaW+FwIIp335vJTbfeTfO2B9LjsGNxJg/RyWgrWz2HS8acBRAdYFWSRMHeHN3vZDaWKv7813+yZMmXOBvFbpyN4hzV8/NWBtXKMJxzLFiwgJkzZ1JcXIzWOmscGVnLcmNRLP5iOX+/4VZS5HLUCUNIFO5NGoM47xCtjkhkFhqHFgVO4USTspoGTdpwwpCzeW/OAu5/6HE2bCxBrCBOohtFbBjbS7UyDBHhtddeY9iwYVx//fXMmjWLdDqd7UpUUc6yrCzFI48+xQcfLqL/0LOp36w1aUngREd1dVuva6jqVHS8+sJa0M4vl0IStO1yMIf0HcjI5yYy9cVXMMaX9QdaRxm5MdtDtRJD0FozZMgQ6tevz+TJk7nuuuvo0KEDgwYNonPnztSqVSub8jF69HM8M3IcR/YdQNv9u5JSOQgmilOEqKjbUXVDMlq4ksmoiuIVkaiC6EJ6H9GPVcs/4/obbqZVy6b06HkQ4lR19DVUGtVqxgCoX78+gwcP5vrrr+fyK65gU2kJw0eMYMTw4bzz1tuIc7w/YwZ/v/4GmrY5kJ6HHI+VHFxaoZzveuGdOrvjo1eo/xa1Ezb7FZ3KmQBeeZheoXDWkVdQm6NPGMqGMIf/u/42vlq+AqN9TbkVNju2XF1lusnW9KRE85e//OUvlf0mfixKKQoLC2nVti0HH3ooLVu0YM6sDxj17CjmzpnLyFHPsWZdMWecP5zCuk2BRLQeF8QK+DBZJIOz89+fEc2GNV8x893/cEDHnjRu0YG0OK9XK5kKwB177WzEJRPXyNqKF0owgHNQWLcehXX24j8vTkWFpfTp2YlEIoHFB3cyoovihHXr1rJo0UJAkZeXl/1bWcX2Gki1WkpVxG+0hcL8QgYOGMAxRx3Of15+lauG/44vFi+nXYcerPxqJTkFe5GTU4BWUXKeSvg1utawy/YZ2xr5O9kKt3g5hwadIHQWLZYDuvZm7bdf8sSz42jTthXnnnsmRhwoRSqV5svlK3j99dd48403Wb36W37zm99w5JFHYq3FmOq3zNyZVCvD2LL1r3MOZR2lYQl5BfmsLylmY8rSd9BZpMMko55+iiZNmnFY3+No3rINybwiUmEaTCJ6vcr6JLsIpbBOo7SfCq1oeh12FCuWLOBvN9xK2/ZtOWC/NsyfN5+x48YxY8YMnMCRRx7NeeefT6cDO0Yvo2r0bAHVzDC2xCiNE0fCJHjz7Xf42w0307ZDd04cei6JZF0+mzeLOTPfYcKYUTRq1oojjjmeJi1akwpDnGMX3hV3f9KeiEQ7mnRUyWdJBIpkYRGHHnkMD98zm2HDr6FD+9Z8+/UqGjSoz8/POZsj+x5L8xb7EhiNE8FZSxBU62GxU6h2Z8Bai9Y6G9VNJAMWLV7CLbfdh0nsxQmDziZZUI8wTNChczfatG/D54uXsmLFKrQJMnVxu362iMLusqtdQeKziJUCQ0ggviYjDMtYvWolixfN4/NPPySvoC4fffwZYuGGf/yVHt26UFiUD8ZLjaYdBFphjPkv13dNpFoZhohkl1LOeQMpKSnlgYceZ85Hixl69sXUb9Ke0jKDRZNWCXROLdp16EKb/UAwpK1Dab1HKPplynW11j7yH6awpWtZvmwJCxd8wudfLCIsLaNps8YMOflcvly2kNnvvcE3322gsKg2ECLORnsvv3TKnN+arqperQwjc7G8gWjSYRlPPvM0jz0xkiP7nUXrdr0oLUvgFDhtSREAAWKd33w7QYlCK4VB4faQajfrHIExzP9kHrOmv8zGjeupXasOnbv2onXb/ajXoCHJnFyatdmflV9/w/9dfwtNGtXn4D49EHFRNW8FheuY6mAYmcGrNhMz0Frz9rvvcPudt7N/p+706dMXdCGh1YgO0QGkrUZUgFEgzqGVINaidNTGq3om2GbJ3tWjmUMFAc1at6FFyxY0atSM3Lxa6CCPtDOUYEjWVhw36AyeeuA2brntLpo2/T9atGyBE4eL7WIzqrjrwfnuQ1gfiYr0xYwxLPtyCbffdR+hrsNJQ88hr1ZdHFEfPB0NFCVosVEnVYfWgjIK0f6VdxWC+KaWkhFEi4qE1M4tFsrsAzJLqfb7deCIYwfQun1X8mvVw2mvepKpZAxdDvs0aufzqWZ/xL0P/ouS0hIQierKKfcbbPY2M5WANYcqbhjC5tVn3l27cVMxt9x2B+/P+oTjB55Lrb2akHIVH++jwkY5AmXRyqKJOrBqweFQwa5LkSivK6pQBbELlm0V3ddKKZQOQOUQOkPodBTBBKOc78nhFNbl0K5Dd3ofeQKPPTWKZ0c9hyBotZWBv9lbrlnTSRU3jIxUvgJlUdpiRRg9ZiLPPD2Jg484iXb7dyUderVypbZsrlJBCrPiz/fga7xVb5KKaseVi4w2ySGHn8C+rTtz2+33M2v2HP8AlVleZhTaK7zAnnzStkIVN4xyxQy/FFG8+/5Mbrv9Qdp1PJyDDx2INkUIOThncJlBIZK9vjERyhuGtWnEBRQUNmTQqRdSkg646dY7WLHqK/8g7BaHVNeylZ9EFTcMwOFrCTAsXbGcv99wM6HLZeDJ55NX2JDQJXAEfm5QbOFbqSSljwpjqeqMKb9c0giiEqTCHPap34qTTj6H6e/N5qZb7qC0tBQQrA1xLjKK8qfXKKq8YaSt97Nv2FTMrbffx8zZn9B3wCkU7tWIMue9TmiN0gpRmQ1uhWS7SmBzUYUqsgQR/CZb4bs66QSbUtCqXVd6H9aPZ0a+wJgxE0mnfS15Tc+urfKGEWiDDYXRo59n7Jip9D3+ZNoc0JVQGaxRWOVbgDltN/f6RBKXMeUoyUopEOKQIIkERfQ5dAD7dziUO25/iJkz5hIEOWhds5MIq7hhCNooZn4wm7vu+hft9+vJ4Ued5H3zYnHKgragI5duZk28uRhOTEUEUBanHaES0s5QUNSEfv1+RmlpwC233Mvy5avQOlnZ77RSqTKGkXWfS4UCHBRLly7nxhtvpSyt6XvCYEyyMKpUc0jUSB4kWkaVO+CVqCqw+Vbb+L4yKNeW8v0BQ5wLUdoQuoB9GrSk7/FDeHfGR9x777/YuGkTmaBqTZx4K90wKsaTHELoQtJhChHLhg0buPPOh3jvg085ZsDpFDRqTjEBFo0RTcKCFu3TPDIHvj+eqlxlZjb3DWeqgipxFlPglMJpjcqcP6V8wqF2lGhh38696dN3AE+NHMPYseMIwzQ2tDgrNU5HodINI1udia9hlkgkLLSO8RMmMWb8FA4/fiDtOvUgVEmcCgCDyeq6emPISOVXDbZcylWRpV2m+I+okabK/EOwStB5BRx6TD/23a8Ld9/9L2bO/BCtNNaGSA3bjFf6SCqPJ1mv3iEOowNmvDeLO+58gBbtu3DI0SfiTC6hy6Rxly+1qj7V4T36XIGUcyRyizj+pNNZX5Lgn/+8i6++Wok26RqnpF7phuGJvEniCIIky5ev4o9/+jvrii1HDzgVySkiJQFKJ7JpDuUiADE7C2cUoQrYq35rjjvxbN6c/iG33XE3palitK6eckM7SuUbhlicS+FsGpywaVMJ9973Lz5esJQTBp7FXg32JRUmQCUQyeixlm/PqyIZJ8KOtRqrPJwITgVYlct+B/biqOOG8ty4yUyaPAUnjjCdzqqI7OmFTJVuGE6EMLSIgE1bxo55npGjnufYAWewf+dDsDbA6ES0sY6yQGH3VMftIJkqQf99NUGBVmBFSAtIIo8jjxtIi7ad+ect9/POu3O8g2Qztcc9l0o3DJ/KodEm4O3p73LDjbfSsk1HDj78BKwpxDkVGYPgW8RL+fNidiq+HbJDlFAmDpNfyLH9T2fNOsOf/3oTX331FUEQZEuL92Qq3TBQoIxh6bJl3HbHXTgC+vYbgEsUknIBWnkpSiMWE2kz+biFQqrsxaleSyjIeKokMgwLRlFqHXs1bEG/QT9j/qdLeeDBh9i0aVNUE75ne6m2yzAyZSr+cpfL0G//tS9/sGT+E++aNRo2FZdwz/2PMGf+Evqf+nPqNWmNtQqcr8XISFEqNlfOq7JDT1V0DGyz+qfKIdkMs6i4ShuczmH/zgdzRN+BPPPseJ6fNBknoe/6JA5xIJmSmW2+bsUA7lZ+WAXZbsOoOLR/3Ccq34RmToxzNsrgDEmnSnhu9GieenYivfqeSsuOR5DWtdBakdAW1ObttohagGV88VWbCudqi8h81cTHgnQUGfLaVAZJ5NHryP40btWFW26/j3dnvI/CIi6F2B0oi63KpyBiu8ZWJnTmT1UFicjtPhkKREd3fQfW3220Vkx/ZyZ33v0vWrTpSLdeh2MJsCicwqd5kCme+bF/sypQDUZAlq0FIf05d0Ait4ijTxjChmK44cbbWPblSpQ2vqnndtp7NhmhCsQ6/xfbd9PdrKDrx36qzID2M4cS7/0ItGL50uXcfMu9lNh8ju1/KgW19kZ0onzZVg1OYE1BSNKwaXuOH3wmcz5awn0PPM7GTb6/uFJb1G5swVarKLf27yrEdq5G/EJSbLSmjH4qTvzPs6l8UeE921pZCziLUpqNG0t46MFHmbtgKf2GnkvDZu1IuwDrgMyMsfM+Z8xPxDlNWnLo2OUwDj5yACNHTWbs+MnedavsDwdbRRAbgnNIxt3L5n1kq5r7d/v2GM5BGEYF9xUygLSfDbwihpe2SaVTWGezm2wnXoRAnPWPUwoRxdMjx/L402PoddjxtN6/K2kJEDGobI031bFF3h6Lr/1LEtokB/XuS4Nm+3HjzffwznszUSbIir9tLfiXuf4+m1d7dy+b95GtqBlWsWVcZRVMbZeulBIo27SJFSu/YPWGTaRCb+tGhxTkJSkoqs1e9RuQl5eXdaO6zZ7vDUSLgiDB9Lff558330PjVh3pc1Q/VKLAe6Ew2YRCv5upWneRmo0gaJxKUlinCScOPodH7r6eG/55Bw+2vp3GjRpGJcj//TxwKC1s2LCexV8sIZV2lIUWlMFoTV4yQd26dahbty6FhYX+WRV6K24p5r072D7BNa1Zt2Ytv7nyKl56/S06d+9Gbl4OYdlGUiUbMclceh96GBdecCH77b8fUD5FKgU2DL3ekzF8uWwFN99yNzl1GnHcKT8nUViHVNphdAJlVVacWFB+cxfPGlUCrZzfkEoAACAASURBVP2gt9a7YvZp0JqBp53PhJF388CDjzBixJXk5+ZGGldU0AZWkdid5YOZ73P2OT9HlKFV2/YEiSRh6FsW5CQTtGjRkqOPPopjjjmGvffe27+Wc5USTNxOw1CEZWWsX/s9ebl5/OMfN9CqdXNcupRvVi3nsSee4uFHHsaJ409/+jN1ateJdh0epUArzbo167jz7vuYOXcep1z4G/ZquC9loY7KFTLF+pnlqvKqH7FhVAlEbFTCrgidRquA/Tt05ZsjTuDRJ0bRonkzzv3ZmWx1Zxi1JSgu3sjGjRs59oR+/OX//R8FhUWUlpWx5tvVfLpgPmPGPMfw4cM49dTTuOaa39K4cSO/AqmgWby72H6JzsCSFIuYHBq33Jd9mzcEB61btyCvIMnkl17k/Vlz+H7DJvaqXSdK9ovcDiZBGFqeGTWOfz/9HIcfdzKt2nWm1CbRWqNxeGd4NH3GxlDlEMkscAWlLYLFasNBhx7Pp58t4qZbH6Rt+/057OAeiKQor7AxOB2AWJJKSGhNXt19aNyqFXvl5iKAbtuGg3t35/i+h3L1iKt55KEH2adeQ67+3bUoYwgqYcbYTq+UgApJ4FAmh7RzWZfCpk1rmPX+O6RKSjmwaw/ya9XGCdmEP5wXYH5v5mzuf+gx2nXoTp/DjwUSGBWgnUaJz70RJThdfuyWNnkx24cyCBoiVUNRaaxATuHenDjkXFRQh1tvu5+ly7/yEwQhmQwJH5cKCCSNFkcKRalzOEKfXW0FcWmaNG/Ab664hIYN6jFmzHi+WLEK0ZWz09zOGcNni2qtKN60iUcfe5x96xSAUnyycDYvT55I546dueDn51G7qBCnhEwqjdKKlV99yc233EZa53LC4DPIKapHKsy0142XS9WBisPT4bVytTGkxdG4eSv6DRzCqCfv58F/Pcq111xOUUEu/3VhtzLCfRVB9AvnaL9fe9q1bceMOQtYunQZrVs2qZThsd33ZIVCaY04y4JPFjBr9ixmzpzF9999T9MmTSnZsIHnxz/P8uVfeX+SArTCupCnn3yCN954iyOP7U/dRvuSIgk6AfaHA0MxVQsVpfU4FKIDLAarDCkntO3Qkc7duvPoo//mtTemA4noWeUyqZn7YOaSZzIptNI+o0IZwJBM5gCKVElppd0zt3vGcA7S6ZD8ogL+9Jfr6NS8Cc5C2q5l9crl3HnXw9x7112krONPvx9OUW7gFcWVonGjRuTn5/PN92soTYVg8qJIukRuuXjNVNVRmaIrZbK1MM55b6NWUFpazHdrvmef+g3Ye+99yp+X0YHINLmJMkGzMQwVtXZwQBBQUpbi2+/WkJuXR5PGjSptZGz339XKt6CyLqSoqICCWgUUFRaw1971aXfggZx+xunk5ubx+uuvs2btmmyhDloxaMhgzjnrDN6cNoXP5s0lIMRoQWsVNVKMqdpsmV+tcAhBYEho0C7N9DdfZdnnn3H1iKvo3rULFVNON8uKjmprfGauw1ohTDu0CRArvPTSKyz4dBF9evehdctmOGer7lJK8M3SMwmi2bGcAJQmXVrKhx9/xJp1a2jZogVFRUVkp1CB3Pw8Lr74Qjrvvy/Txj/JN8sXokgTItgqlgoQs23KB6hglDcIE5Ywf+ZbvDVtIueddQpDB5xIUmfyecp3JkZ5HZfAGLRJkAySaJ0gCAISiYBvV3/Ps6PG8M8bb6VBw8Zc9MsLqVVYgKrSkW9AKY2Io7hsE6OfG03bunsBOazZ+DUfz3mHyS+9yYHdunDBRRdSlF8ALkSjsEDaOpo2acC1I37N5ZdfzasvPMeQn/0alb931g0YU/WR7K5AoZwlieW7VcuZOv5Zuh3Qml9dfB4FOYFvM619RrUoTegEg/hcKWuZO3sOt912K3snNWXFji9XfM3nSxbw0UdzaNa0Bb+/7s/06dObdCodiTAE7G4PzXYZhhUhv7CQgw45hDX5e/PKlClMD9NYl4MKQurtk8/lw66g39CzaNG8aXnjR/H+bycQKMeRh/bg99dcxu//eDOzZrzBQUcNwqlEthpMZWo3tqjnjk2nMtjGTC4CymGUJSzdwCtTxlMnX/HnP/6Wpo3rY9Mpf8FMInvhjFbgoEGjJhx59FF8sS7Nqy9NI0fSaJIUFNShTZu2nHfeORx51DHss3dD351Xldfw7O5QxnYZhlGKWvUaMOKvf+PiVIhTQuAciCZIKAoK88jLKyIEXFQ+kbm7aKXJM7mARRlhyMlDmLfgC5545jn2LqxFu+5HUUISQwgS+g25MoR4v3mAq4aGkXG7VKNsLwG/snZR6kF5FyuIAnsCTjmUCNZu4o1p41m8cAbX//W3HNSrm39cMumj1EqD8ptsP8g0bbv24c6HHqHU6agNnNcQy8vPp7CwMDv4nYMgMICgdeW0idyuvyoiKJOgaK+9KNrG751zm2kB+mBQtC9RKvpTlrz8fH7xi/OYMWMuk8c8Sd1GLdmrafsoAU0hRmdNodq2HN5seVidzLri+VblXyW60SkwShApY96HM3jz5ee54OyBDB50ondNobbYtEaVliLeUHIK2KdBwf98F+X+mMo7dz/KJZRxuW0tdz6TAbnlUfH8AjgX0rJlU/7wx2uoXTvB61PHYTd9R0IJTgdYlYMQYAQCcf6kxux6Mp6STEWRKJAAxMcWnEpg0Wgsa1Z+wWuTRnFYr25ceuml5OYXbmc9hWw2hrY1lqoCO8VXui2j+C/jiNaK1qXo3bsbV/3mYpYvnsv7b0xBuTJQ2gvkiEE7R+BsnHq+2xCybRScLjeK6PAK84qSTd/z+pQx7J0vXDviMpo1bUToBNnD8nd236fZoowxCIRBg/oxuP8RvDltHJ9+NINAWb98Esm696rXUmRPwZcR+Q4AfrOttMO5Et56dQqLP/mAK391AT17dPIVnFrvcTHa7XPX/gSXgCjvVSgf5D7nCqCoqJDLL/0FCz9bxEuTnqVu46bs1bA1KIMLbeTyI7aNykL5WcSRwuBYMHc67782lZ+dMpDBQ09Cm8gl+z+CtNVRnG232LmojI/DtydWBChnwDla7tuC3/9uGPnJFG9MGY0qW0NAyudZia7Comp7Nn79b0GnSCQdG1Yv4dUJT3Fo705cfvmvyM0v8FFsLb4XyR7GLjcM2eJrRoxHoUE0ToRevbpyxaXns2DudKa/PAFtS3BKY02CWIpzd5OpvXaYQEClKC79jsnjn6TQFDPiqkto2qypvy46AKWzDaf3JHbDjJHJx/RkYqcZnahMY7FTTx7EGUNP5I2XxjNvzjsEJoSolZgioz6SeTSbS0zE7BQkoySvBGUcSBoVlvD61IksXTCXa4ZfRo/uXbA2jOIUJpL62vNuX7s8epKRWatQArzZV8GnEOQXFHHVby5n6bKvmDZ5NI1a7kvtvZthXRIrDozGZfISncKIVxuRqthcNOuFk2rjVRPxhWFWLE4sBkeODln4yVxmvjyFn581lIFDh/iCZe3rbDx72K47Yrd8qh+6m0j0CBGhRcsW/O6a4RQkYdqEkdji70kYwRjt05cziWkKbyR75jWpJBQiGnFCwmhyDHy7ahkvTnyOQw/uxhWXX0p+gS9O84IH1cPgd5RKH1reYxEFe2xI926dueqyi1n08Qe89fILuFSJb9ouPpExk7EpOurUGrNzUF6+SCmDkpDidauZ9NxTJEjx2xGX0axpA58cWEOcIVXCMLQ2PnvXObQSThkygNOG9ufdN15k0YIPCbRgcOUCC0rjlCrfb8T8dKL6fO0c2pUx/c2XWPLZR1z2qws4qFtHnE1F51vt8bMF7IY9xv9CAWiFdgplNDYMyS/I4YrLL2LlqlW8NGkU9RrUZ+8GzXDiC2T+K1pY1cgMnOqURAiYSERv4cezmfX2y1xw7qmccfqgyB2rCXSUUq7ixjG7nOwQ15EbV2tCG9K8RVOuvOISctRGpo57gpL1q8hRFuNctq931TWO6pdEqIGcwLL6q0W8NOEZenbbj0su+jmF+blYK9nEyJrQTQmqkmEAon2uFNpn2Pbo2YNfXXwWny+YyYy3pkFYglFgRHnJnbjIaaehlVC8dhUvTRyFoZgrLr+IFs0bR47YBKKqovtv11HphuETmv2CwzcgMYg2oA0mUJxz9hDO/dkQ3n7tJT7/dB45xvjG96JiZbYfzeba8+UolHK8/dpUln8+nxG/uZQ+PbsgLsQ6AZ1AiA1jN6M2+1abSMNKKWzoKMgr4tJLLqJ7l3ZMGf8Ea79djNYpQgVO6ahZk2x2ZMKAlbW+z/7tKtXOWFCEQIgFQgyh04gNyVGlfPHJTGa+/SLn/exkThk6wC+XtCYwAVopdA27B1UBw4BMQYvBvyGjvWEEJkHKGpo2acGIYZej0t/zwthHKd30DWhLGFWdZfQoVFbF4gdbwu1ytlKGUkWwgMUprwzogGQgrP5yIZNGPUTPbu245KJzKSzMR0T7NtLaeEHuqvVBdjlVxDDKqSjO5bNG/BU5uE9vfvvbYSycN4d3Xn+RhN1IQqVw0czhlMFGblzImEtVuVtXDYQARwIlCiUhOcZRtnE1E8c+TUJS/O7a39KkSVOv/6Qrdq+oeVQ5w6iIE8EJuGhxdMqQwZxz9inMeOMlVnw2lxyVQikbRcJ9E0uffiIokXhzXgGvBZVASOALjdMkVSnvvD6VVcs/5ZqrL6N7966V1qilqlGlDUOhollDo0TIL8jl15dcQPdObRn/zL9YvWIRRlsU1qdIAxIZR8x/4/BlqlosSUr59MPpvP3KRM49eyhDh55EViStBgTw/hdV2jBQYIzGGIU2GsTSsmUzrr3mSrTdwIsTR1K27hsCylCElPfkiA1jqwgESpGUFF8vnc/4Zx+mR9f9uPiiC8nPzwcUxhiMMdFSquZSpT+9AnRm1+eLxbDW0qNHd4YNu5yVSxcy661pJGwJRtIgkfQ88e5iS5SAwaGkjFTx97z+0gSKksI1I66kSdPGWFueYFMZrb2qGpWeEvK/qKCjgBNIhWkCAyefMphly77k8afH0qRpY1p17IUQZPN5QMcTxxYYLIGU8cark1m59FP+8sfh9O7ZgzB0OFTVHwy7kSo9YwDZW7/ghbi871BTVLs2v/zFeXTr2IZxI//NN8uXYLLTRLTPkMwzKx7bDnPtSWz+iaN7hCvjk7kzeOuVyZx2ykAGnNSPIIiEDGr40mlLqv7ZyBQnoTAmIBkkMdqgtaJZy8YM/+3lJHSKV6ZMwG3aQEIU1glWG1w2I9fiIxsOF9UE7pEFgF7QA993XQhxOCVYZwlMwNqVi5g65iF6dGnHLy48j6JaRYhYjLIkjKs2RVW7g6pvGFmUNw6tsz0ZBEevPj35wx+vZdniecx462USpFBiIXLh/tDr7blEddvR/xNGSBWv4aWJI6mV5/jrn39Hy5bNvWtba4z2y6yYcqqRYfw3zoIRw0knHMvpp/TnlZee49N575GjUxhnwYHX2Q4oF2EgUsXdA526ymGV9b45ZdBOkRTBSAlvvTqO5Us+YcSI4XTu3AlrHbFXdttUa8NQGFwo1CrK4ZKLzqF7l5ZMeu5Rvl3xGQmXIsAr6onzB84PFmMdxro9bi1lEUITVaxYRQ4BJl3Ggtnv8PrUZzn7zCH063e81xoWVyHNo6LqcAxU87OhiMTctKZVq+b8/f9+T6A28cqUMZhwI8alfU6oSBT4K09z0HuaVUR4751FOyGwadZ+vZwXxz3Nwb0O4MorLqF27aIo9ynjks2ck6pc37L7qd6GoRWJZCK6wJbOB3ZgxPBfs3zJPN58ZQKBTmFIgwtBJCqH3dI/tecg4Bs9KkegywjL1vDipFHULgz40++voUH9+igNJjCRzD5kXdvVeyjsdKr12RCVEUUAMGgMQwYN5NST+zFt8jMs+PBdjCsl0C7y0wguI+S9B94cNQacIomA3cibr4xnyaLZXHXlJXTp3BlxmQBoRSduPFtsjeptGNFwJ9pLWKepXas2v/71L+nUpTXTJo3m25VfkDDeeSlKEKWyxrHnoVBWkwzgk4/e481XJ3LmGYMYPHgAiiDKgdqzZsldRbU2DLIlSZG+YaSL1KJJE/78x99RmGd5ddo4UqXrMVpQWkW1TFKhaGLLAOCWobEdeFdeJpzNNPp2iiVmKk18TpiPxZSrdiiEpBFWfbmEV158nt69DuSyy35Bfn6OP0u6Yi+72EB+iGptGAqFyWweFehAEQQGhebw3odw2cVnsuiTt3jr9YkYUj4V3UEgGuWoUGG384wi874yEqSbLVN2goCDEuudCV7tBhuVAyOCljTpsm95fszjFCRDrr3mSpo2bYyoNCQyOlzx0ml7qPaGoSrKf1KujatUwOChgznjjMG89tJEFsx9D5PeRKAFpw12l66ltly777zBqKJYjP8+6iHiLAGCTW3ijWkTWfnFAi6/9GK6dekCceBuh6jWhvHDCEW16nD55VfSq/N+vD5pNMWrl5Eb+OR0pxPVcJ8RpRhHCikahVGCJiQnAYsXzOWdV6Zwwc9OZ/CgE0kYny8mEs8SP5Y91jAcirJQaNiwIX+6bjhJu46pYx8nLF3rc6iCYIu5prqQ6YMayWWLJcc4vv9mOZPGPEmf7h0YdsXFFOYGXpXc65myB1/qXcKefbaUwTlLt84duOryC/h8wUxemzYBZYvBpbPdZncNu2BzKyBO+SxjEZQLCSRF6cZvGTvyX+xVYLhm+GXss1ct3y7Y+P2XUpkFZ3W8EVQOe6xhZMQUEAgScOppQzjvnNN446UJLPnkA5JSQmbw7nzjyARLdm4bABF8hykBoqxYCTfx1quTWfLpHIZddTEH9eiMEwtao5TxPSww6Go6P1YWe6xhQFS1ZgxOIK9WESN+O5w+PTry2qSRrFu1BKPLZSedVB8RAKNBYzE65NP5s3j39alccvFZnHHaQLTx7dmsU77TqtLVcC9V+ezRhmEUiDhEBQiaOnXrMOyqS8nXpbw4/hmKizehlI8DbF7KWck+/i3/fPRvrZX/PGIJErByxVJemDiag3p24pcXnk0QONABFq/maEWVR3nEHzHbxx5rGJkVtdbaF/Yr5fv99ezBr391AZ9+/C7vvTYJ7UpQ4nBO4zDZDrOZtso7gkTlUP77HxcjKX+UAico5/z7cZHKonGowLJpw7e8MP5pcill2JW/onHDBoRhiBcQ1FF7Bb98iu3hx7NHl/n6tsnlM4FzaXJyE5xy+sks+Pwznnx2DE0b7UX7LkfixOCsJqFBuXQUuN6xNUh2f5O9RWdu1/97iAoKUV4bK2OgSomfKRyYHIMt28j01ybz7dL53PD/rqXPQd1BqUg8IrrXRe89+wni5dSPYo+dMbYko67ngNy8XH51yUV077wfL04czepVS0kYn24hokFlUicqYzRlity9gJzTBodClIZAY6SMRfNmMeud1zj3rNMYOnign93wm+04LXDnUKMMA8BZHwlu1qwJV1x2EUnKeHHCM6SLvyMn8F1ifX/xylEZ8QPaRY4tFSksgjaaQAvfr/yCSaMfo1uHdvzywnPJLchDaR01m6oxl3OXU2POZKYwJ7P+FrEceshBXDPi1yxb9CFv/+d5VLgRrR1Ooi1rJSzOVSSmmUmQFByOEKVC1q1ZyZRxT1I7V7h6+KU0b9oQnPVt2gTESVyuupOosYahUARGc9rJAznnzEHMeHMqSxd9SI62aO1rN3Z4xsgmsO5AHCPrPfLfiFiUS6FcMR+88wrLF33Mdb+9kp49uvgNvsILGgReOaWG66TtNGqMYQCbuWR9OnhAbl4ul170c7of2JrnnnyA77/9gsCk0LryBHYkO1k5tArJSzgWzJnOe69M5LyzT+bkoQMwgd68NDXeVOxUapRhbI7COk2YtrRo1oirh11MninlhbH/pmT912gVdYjd/W+rwt8VEtqxatkiJo96jF6d23DxxecT5OT4aL0qb1wRxyl2LjXWMAS/sdVKIzh69+rGddcNY9GCObw//RWcLcuqM23eoWknV8FlO0H5l/WdaRUowSiheONaXp4ygcI8xR9+N5xmTRvjnEN01NI5niV2CTXWMJSCQCuUNiiVwCRyOWXoEM49cwgzXpvAZx/OICAECXHifDlstBnmJ+gYZoN3Ph/cxyvERYcgEuAkBy1CEG5gxmvP8+Xns/nddcPp0rObN2ZtMNqU7ydi49jp1FzDwAcAldGgEzgxBEGSSy66gC4dWjN57BOsXrkY7VKRzKe/O2fi2T/l72ZeoWJ0PfOKWhtAEUjIJ7On885/nufM0wbQr//xhCLZAiulvBL8ZgG82EB2GjXWMLYkDB3WWlq2aM6wYcPIDVJMe+FZwrL1JLVBOS+4AAr7ExvbK/G9yiXqAmWVyX4VCUnqEr5ZsYipE0fTrXNHLrzgfPJzcnGh2+E0lZgfR2wYEcb4UxGGloP79OLaay9j6eKZvPfGi5h0GYEA4hM1fuq63suDesUSUQaLxuGj8gmdpmz9l/xn8ihqFwT89S9/oEXz5igHxmlMHMTbLcRnOUJrTRAE2W5CQwcdz6lDjuP1F8ex4OOZGAlRznmlkZ+4binvLqsRZXxulFEIKVy4nun/mcCyRR8x7KpL6d6tC4HWGB14MbWd9oljfojYMCIywb8gCNBaU5CXyyW/OJ8uHdsyZfwzrPlmCQmVyqoa7qwFjWSSBG0ZCZXm04/e5+1XXuC0k/sz4MQTQFw2Q7g8dhGzq4kNYxtYq2nZYl/+9rc/UZCTYurEp0gXryYQi3H8+Ij2f5FxBluUS5NUKdauWsJL40dySK8uXHbpLyksyCtPT4ntYbcSG8ZWUSBJkAQ9undh2PCLWPzZ+0x/YwoBDoPJCNfsGBU2KQpHwlhc6TpemzyWoiT86Q/X0bJ5c9KhzXahjTUEdy+xYWwT5cUUJMWQwcdz+qkn8ua0CXwydwYJCRFxlBfDVlQIdBUGccUQIV7wTAlWlRciBSLoMMUbL73A5/M/YPhVv6Zr105YJ2hjcE52tjRVzHawRxcq/RRMoNDiUNpRVJDPFb++mCWffckr45+g8d77UNh8f9L4LrK+drxihZ4vpc1oIqAEUT4x0SpHqLwiYtIpcnHMnz2Tt//zAuefO4jBQ45HaUjoqFGByOaxipjdQjxj/ACZfa4Tx74tWvC7a4eRG6R5ddrzpDeuJalBaYV1YCMnrBLlq+4iG1FZDVvfn0NEezVBJSSN49uvPuc/U8dzSK+uXH75JRQW5pf/fYg325VEbBjbQjKqfwalNNaG9DioG1dccQmffzqHt6eNR5dtQCOITmBJ4iTwCoHig3iZtY+Iwbc8M0DUAkwpijd+y+QXniaZU8J1fxhG48aNsLb6qJXsycSG8YNEad2isNYiYhkydAAnDz6WmW9M5PN5MzCSitoK+EGvMBhcpCmLN67od0Sb9kAUpEt445UJLP1iNpdedjYHdm5PGKZRcQCvShBfhR8kU+/gg37gqF2niCuuuIQ+3ffjlSlj+G7VMhKEUZpHJlFWkcmqUqJRVqEyLl4JSZBi8YI5zHznP5xxxgCGDu6H0S5qARZfkqpAfBW2QUbFP1P5Z0yANgqRkGYtmnDt767CsIlpE58hveFrclUZSiyCxlLBIxspEmqxaJcix6RZvXIRU8Y9xcG9ujDsN5dSt1YROpK9iUvwqgaxYWyLbOVP5HjN6L8qEAnp1L0zv7rkfJZ8+gEzXptAjt1AQoV+9WQCL76fMS4EoyxJnaJs02qmPP8kyaCEKy67hEb1GxL3wKt6xFdjqwgQRkemv4RfVin8nsEpGHrKQM4+9STef20yi+fPJKlDRPlnOR0ZkXJo7dCSRrtS3n51Cks+n8tll/2Cg7p3wabIBhP95YjDeFWB2DC2yZZVQOX11YLCiaZ27VpcPeJKDunZmeefe5JvVi0hmRQQi8KASmC1BZUiqZ3Pg3p1LBf98mzOPvMUEkHg6y+yMv3xMqqqEBvGVlF4L1IQfa04aH0fP60CEEO9ho24avhViJTywsSRlGz4ilxCjAtAJZCERQVlrFr2BS+Oe4aDurfk0osvJD8v3y+zjKrw8lv2h4qpLGLD2CY/lH+RaR4viHN0696FKy+/hC8++ZD3XpuCtpvQkgYJ0ZKmeON3vDB+NEkjXHv1cOrXq4ezFhHJHjFVizglZAdQykuiKQxKHEbBOWedyoqvVv3/9u4mNqoqDOP4/9x7Z9rS1kiQlrTQSkKh4ALQ0EKBvRqiITFhge40JCJ+wr4qOxOjuMG4MdIAIboxKWmiSU0ANUaJIh8DUcvXQLSagh06nc6dc1zcmYLJNcVrTWfI81vP4s4kz5xz7jnnfflo4BO6OpYyr74B44p4YYFvj3/OaPYn9u59hd6edTjK7QmsnX7rJdVFwUioUrO5Uv+pubGBHc8+w7kzZ/hs8GM29G3EGMuZUyf5/dcxnt6+la1PPIbxylXLuT1SKBjVxziN4/9apUaIcVEDF5zFlcD4PseOfcmuF/cwkS9w7foliqWQLVue5J2332Jx20KcK2C8dNTtSKqW1hgJ3LFWBnwody2yztLX18sLu57jz5uj3MrdoHt5Fy/t2sGSxa1R1ybja3e7BmgqlVBlx8EZcNbDltfqfuCzbdtTjIyMcPjQEV579WU2rO/B2iLWuehkrVON2WqnqVQilVpQ0c26qNmRxVqH7xk847h69SqnT2XYvHkTTc11WEKc87HWJ/ANnpJR1RSMRCpVPoBy2RtXuWmHBWsJyht3zkWXlKKmNAZMEB0WnLuHl7ugYCQyww1sN8MdVKWi6mkVKBJDi+//g0aEmqdgJBQ3A600wPynZGinu3YoGLPAORc1cimz1lIoFAhLIQZDKp0inUpPfy6VSikcVU7BmAWVg4BTUwUymfN8d/IkP/8yQm58HD8IaG1tZWX3SlavWU17W5tCUQP0ViqRqCH9nUZHRxkYGODAgQOAoXvVKtrb2wnDkGw2SyaTeKAwxQAAAlRJREFUYe3atbzx+ps82NkxN48td00jRkLOgTEWYyA3nmPfu++x//0P2LhpPbv37GZF9yrmNTRgrWX8Vo5T3//AxUuX8Hy9CKwFGjESsA6KRUvgT+D7Bb4e/oZt23fSvKCF/R/uo/eRh/G5c9MvursxVZgiCAJSQRq9uqpu+vtKwNroOIihCDbPieNfkL1+jUcf38JDa9ZQirpMTh9Nr1QmrK+rw/d0qrYWaCqVgDHgBw5jwIWWs+cyNNU30rVsKWk/ze0CCn+nsbl2KBiJRNXNXbn8pvF9SqWQsFgoX4j18DxNlWqZplIJmPJhQec8fL+O5Su6KRQnuHD+AsV8iI+JenE7h7WOUqlEqRSNIlrS1QYFIwE3fbLWB6+e3g19LGp7gKGhQb46fgJXKndBqnzeQRiGjI3dIJ+fVDhqgN/f398/1w9Rk4wXlfk3PgsXLuDWRI7h4WFO/3iO5sYmgsDDWksul+Py5cscPTrEwYOH6OpaRktLy1w/vcxAr2sTcEApup2E71mcm+SP0d/4dHCII4cHGbtxk/uaG5k//34whsnJSfL5PD0969i583na29vm+ivIDBSMBCq39kz55h6mgHNFSiFcuTLKyMhFstlr5PN50qkULYta6VzSQWdnB01NTfiBZrDVTsH4jyo74M7Z8hko7VPcCxSMWRL9ik4HBO8R2seYJeZ2PR25B2iyKxJDwRCJoWCIxFAwRGIoGCIxFAyRGAqGSAwFQySGgiESQ8EQiaFgiMRQMERiKBgiMRQMkRgKhkgMBUMkhoIhEkPBEInxF9ni1eTXNOAAAAAAAElFTkSuQmCC)
Prove that △ CAB ≅△ CAD
![](data:image/png;base64,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)
Maths-General
Maths-
Maths-General