Maths-
General
Easy
Question
Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39
Hint:
- Triangle inequality theorem
- According to this theorem, in any triangle, sum of two sides is greater than third side,
- a < b + c
- b < a + c
- c < a + b
The correct answer is: Yes, it is possible to construct triangle with this sides.
- Step-by-step explanation:
- Given:
In triangle, sides are 28 cm, 34 cm and 39 cm.
a = 28, b = 34, and c = 39.
- Step 1:
- First check validity.
According to triangle inequality theorem,
a < b + c,
28 < 34 + 39
28 < 73, True
b < a + c,
34 < 28 + 39,
34 < 67, True
c < a + b,
39 < 28 + 34
39 < 62, True
As sides of triangle satisfy triangle inequality theorem.
Hence, triangle can be constructed with this sides.
- Final Answer:
Yes, it is possible to construct triangle with this sides.
As sides of triangle satisfy triangle inequality theorem.
Hence, triangle can be constructed with this sides.
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Is it possible to construct a triangle with the given side lengths? If not, explain why not.
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Factor out the GCF from the given polynomial.
![3 x cubed y squared minus x z to the power of 4 plus 8 y squared z](data:image/png;base64,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)
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![3 x cubed y squared minus x z to the power of 4 plus 8 y squared z](data:image/png;base64,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)
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Sketch and label the triangle described.
Side lengths: about 3 m, 7 m, and 9 m, with longest side on the bottom
Angle measures: 16°, 41°, 123°, with smallest angle at the left
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Angle measures: 16°, 41°, 123°, with smallest angle at the left
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In △ 𝑅𝑆𝑇, which is a possible side length for ST?
![](data:image/png;base64,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)
In △ 𝑅𝑆𝑇, which is a possible side length for ST?
![](data:image/png;base64,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)
Maths-General
Maths-
Write a trinomial that has a GCF of 4x2
Write a trinomial that has a GCF of 4x2
Maths-General
Maths-
If P = 4x2 - 5x + 2, Q = 4x2 + 3x - 4 and R = 2x2 - 5x - 5, find the value of 2P - Q + R
If P = 4x2 - 5x + 2, Q = 4x2 + 3x - 4 and R = 2x2 - 5x - 5, find the value of 2P - Q + R
Maths-General
Maths-
The areas of rectangles are given. Use factoring to find the expressions for the missing dimensions.
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)
The areas of rectangles are given. Use factoring to find the expressions for the missing dimensions.
![](data:image/png;base64,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)
Maths-General
Maths-
The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.
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)
The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQ4AAACjCAYAAAB7RPAhAAAUl0lEQVR4nO3deYyd13nf8e9zzrvcOwtnOOI23ESZImWKlGTHsSxZdhU5kl3VcozYLQK7VZomDpC0TZq0BQwYKdwYRZv2jyJIGyBG2qRJHQS1kUCurcCWEy22RS+xoEiuWFskLVGiSQ05I3KWO3fe5Zynf7yXQy+MnDelZvPzAYYXJO/cOXyX3/uc8573UFRVMcaYFtxqN8AYs/5YcBhjWrPgMMa0ZsFhjGnNgsMY05oFhzGmNQsOY0xrFhzGmNYsOIwxrVlwGGNas+AwxrRmwWGMac2CwxjTmgWHMaY1Cw5jTGsWHMaY1iw4jDGtWXAYY1qz4DDGtGbBYYxpLVntBpj2lIhok/kqoMt/rkRAELyCKKhj8AZFRFanwWbDseBYZxSlJpKoIuqogcqBqIIGSgHEMVp6UAipoqI4Vbz3q918s0FYcKw7gmjzqjRBIkR8qEljpOsUkoyYK0EFX0IpQp0K3VVuudk4LDjWGQG8OgSIAoFAEiuSqqQ4M8XcU0+zMD1Ld98OtrzuJnRiO04zkujACg5zlVhwrEMy+HV5fCNGysUen/6d32XihfNMRsepF55n++EbOfDr/xLdvQ+paIbCbZjDXAVi/5Pb+hM14hQiQikRCQVusc/M8ecY37sDhmrCV5/kxC//Z7b+/PvY/ksfwIUMscuEuUrsUFpnFIgSERVEBYejlhQZcuw48joqhIV8jvG33sz21+xm7pnjTJYVmmVWbJirxoJj3dHl26/C4JYrjuActTqSIIzRRdQxS0k97FAXaSLHosNcHRYc64wgJPhmToZrdmAyGPVUidT9WcLps1z4i7/g7Onz3PiB94NLkUohs+AwV4cFxzokyHLx8J1RIKKcf/IoT/zab7FldILrfuGfMP5jd6FlSkgc6aq01mxEFhwbSkTPncefucgt//M/kL/+Rko8lXNULpLaEwbmKrEjaUMRZHic+ObXs3hoL2WWk+JIfEHiSuz2mblarOLYUJSxW27g8PAYqfcseaXsRIZiIG06OMZcFVZxbCjC9Je/xCP/+tdInj3JaCjpRAehi4ud1W6c2UCs4thgRq47wI3vuhe/fTMiglehSpvB1Gy1G2c2DJs5ukGp6nfdfTHmarKKYwNR1SYwRFBVmtyw5DBXn41xbCC2UI9ZKdZVMca0ZhWHMaY1Cw5jTGtrdnA0xsjU1BRPPfUUdV3jnGWc2dhijKgqd9xxBxMTE6vdnFe0JoNDVXHOcfToUT784Q9z+PBhQgir3SxjXlXOOZ544gk++tGPcvfdd692c17RmgyOS6qq4uabb+ZDH/oQZVmudnOMeVV57/nIRz5CURSr3ZQfaE0Hh3OOEAJVVVFV1Wo3x5hXVYxx3VTWazI4vnc+gnPO5iiYDW954t46YCOOxpjWLDiMMa1ZcBhjWrPgMMa0ZsFhjGnNgsMY05oFhzGmNQsOY0xrFhzGmNYsOIwxrVlwGGNas+AwxrRmwWGMac2CwxjTmgWHMaY1Cw5jTGsWHMaY1iw4jDGtWXAYY1qz4DDGtGbBYYxpzYLDGNOaBYcxpjULDmNMaxYcxpjWLDiMMa1ZcBhjWrPgMMa0ZsFhjGnNgsMY05oFhzGmNQsOY0xrFhzGmNYsOIwxrVlwGGNaS1bqB8XBqwsK6OA3QpTm7wTBr1Rj1gVpXjQioqCCIqgIURS02WZOL78VQFSbrSvf82kaiC5Si8OpA4QgkERII9SO5nMBH5sPjdJ8jg+OKELtBB8jicbBewVEBp/ffAFEuxxteCu3iyMQIKpSaSTGAFVA60Adlai6Yk1ZDxRBFTwBHwNOAyhEHAFQAVFB1IE6VAfvj5d3qsryh5HEiIsVwUVcdBA8pXMokNbNSb/kI7UL+BjJQkRRSqckAXzwVJKQRE9eR4KriShBlFoURUH10m7G9ubGtmIVR1DFqRAR5hJHqjBSA6pkUXEIeL7vSvnDSjTg0OXNoeKI4kEdQ3WNiBIloMKgMlBEBZXmu5ZP3EElULmMqMOM9xxZgNoFUq0IvqJIhSAer0Iami8QvAoaAwkVaajRGvIgg2Dyg5+tRFGCiwixeY2OPGTYzty4Viw4oCmvfYQscTiF6JV5B4lGRuP31Nw/5JxGPHHQNXFE/HKMqHgigSBK9INOoIJDUPn+q71XmE+h8jASlL4LVC6SaUQVglNEI2nw+OgIDoIowUFWe1RhKa9Y8kpwnqzOSOoMldBUJhKJElEHSVTcpe6S2bBWLDgSKREnBN9cDZNKSMqEkVQIOdQukoh1jpeJogpRB8ERwTlFRek5xYkgqiSDrgqkzfupl7soGiKCgApj5SKd+WnGFoWLW8e40Mno1BlOOxAr0qhEacY6lpIILiAawHVZch51oDFQ+pRSEhJ1pAK+AmqlTFKCKGmIJOqorHrc0FYsOJ7/4weYOf482yYn2Xb3Hei+3RR48trha6FKV7T8WfvUNeMF4lEVBMVRI6FmBCGva7KqxotjyefMJ46+E0TC8iilOEGCIuKYf/oYxeOfZ/pin023vYEdd7+F80kGmtKpFUdFRAhOUVczUi6xuapYSB2zSU4npAwteYokUqZ9uoAvC7qV4HzOtBN63pMmOd0yNO0wG9aKnavnPvd5tg8NcfqxLzD1xw9y83/6N/RuPUyZwUgQvPVUvksQT5SmeyKiSKzxWtPVivHj3+LiE08xOzUN3SG23H4bo4cOsdTNCSiOprsi2mxSiZHOtu3se+97cSem+Ks//yJHDt5Cb1+HghpBqVxTCYpExuqa3bOLLD76JaqFgt333c2F8TGqVEjoc825l+CrT3L+1CmKyrH14BF23vYjyMQYS6p49VjPc2NbseC45bc/SMen7Dh2gm/+yr9j+hMPsO2W11LljsorWXTY/djLokBeefpZIAjkwTFGSXz663zj459iePcWJg5dz8WFwPR0j81AJ0YkpsyliySaIZoivrmDFXfv4WRnjl29RbIsBRUiCWnt8RpZSoQgkc1Fj82npnju058hPP4Y4+O72fy2O5nZDEUW2Fac58LH/wg9WbDzjluJ8xc58dADTJw7yc6//35m02HUOeZ8Spn0GCk94jKCFiTRESQhuPgD//1mbVu5eRzDOykVsptyNr95N7Mv/F8meyXepxRem3LcrlIAza1NUbq1o8iWCCJ4lzNy/iVOf/LT7N53E6M/9xNMd1LyMES3gEU/T372NGNhFDc5yqILDFcV+Qtn6E1ux/tRtrzseeGJr9N97R56k5sIUenEmkQDIaRUWWCo6vPNzz7GNVmX6956hJlnL1Bpl7zOqTtLhFPPUX3tKW746X/L1F0/wojOcuDjfc4//gTZPe8m+D7DRSBO7mU2qRjt9fDnKnrXDFONdEEDONvJ692KjUZGTSkkpa57uHNLjORbCVkzoNdBEIKFxsDg7ipLHrxGshDwEihPfotwYYbdd74JvxjY+u0eW+bncHIRly3w4tGHOP4/fpN9p/rsoIIv/gnTH/1vDPUX2Fr04XP/h2RO2HbXnRSSkwVlKetRpkv46MiqjNl0mIn33MfWn3kf89fv50Lm8XVKcEqZQBjax+LQdhbOPsNY/wJxsc/86UWGJ/YTh0Y4/eyTHPvN/8jOE8fZ2xfyp5/i+d/+XeJ0zfxQQvDFam9ecxWsWMUxtHiB8vQZph99mFNPf5sj//QfsDiS4YBclcwFrK9ymShUXhFVshgRV5LOzLCpv8DZxx/kxYWCcDEyunU7177tzegN+zj8hndw4vO/weIjDzHOIab/7HH23voW6rEOs3/5ODMnHuGWu+6hWuxTyWZmJrrUXhDXJ9WSLKZUSULYsZULOEbKjLx2FImnl0Y6/UBn4iC77r2Xs5/5U7ZPnyMsZZRzS2z7mfcyMzLKaw4fYfpTDzLz2U+zZ/gevvFnD7P/4CGqvdcwG6rlmaZmfVux4KhOfJUnf/Xfw/gu9v3CLzJ23z2UFQTXzC9IJNLMY7QDC2imcMnlbotTRYuCON9DA9xw25sgprzw4MO8+LE/YeJXP0C98zXse/s7mfrEHzF8fJLu2EG49x4WnHLxmW+x+UKPc498iTl/nO477+Wa4a2MvvwyIVlE4yjqh5nrlsynnjJEEg0ksblDozKYgxOFrQcPUn5tE1Nf/QKd3jBjt95MPT5MTZe4eTf7fvLdnPv9j3Px7AnwY6T33cnFdJbhKidKBxWb5bHerVhw6Owsviy46YO/QvKGW6m1Jiv7IB1iLogVG99FJZJXNf1ciSJktadIEtz4dibvez/f2r0NJwUHlnqc+IOPUc6cIG7ZxNYfPUL+mYTy8acZ//X3c25sAsqaHT/1PrK6wNcloeuZn8jwR49y9qHPsphBke/i8N99J+n+CbwKwUX6mVJ6yEJNp+5Sp4J74QTPfOwPCXv2c/Cnf5Z6epZTn3yQ+F/+kF2/+EHObuvSufkIuycfoXjoC+z+V7/MwuQWiHUz+5UEoVrtzWv+P63clPORPfQOvx7ZNkkElpKaxC+Sh4QkeFScPas7oAgRJQvKgoPghE1VQtEdYSEovbpkwSk+EUhTJAgxDJGQs3D6OItLw4zuvZalp7/C8O1HOJ+PsjjqcOop8j6lqxjvK909Bxh9V063LijcBMWOLfQShw8pIyGQ1Z5OcNRJhVNhKHhmnnkUf+E0+3/2l/j2tdcSDs1yne9z8jf+gPrFZ9m04yaWzpzl5fmLdA7dyOLT32Tytlle3rWTXqJ0YolVlevfip2qyeZxDtx9Fz4bJq8hUUftcupEwAlCgh1QDUEJTuhnARc9okKUPqPbd1AEpf6rrzAZpthx8RzFXx4n37yT0a1byGdeYuqBzzH6hjuY+Pn7eenY1xn5ypfZREkkohTEGMlrRxJzFrftYPGWH6W86Y1w40F6410qB6PSZzJcJNGChIosm6Pje4wWBb7whNLT7b9MVwuQHrpU4+ouktZs6p9h6k8/RbJnP9v/2f3Mnj5L9fCXGKsL1Fff+RSNWcdWrOKYevYYn/ivv8W7t+3h+m23kwUhkyFEBHU0T3mageap18oraUgI1PR8wbbrrmXLW27nuU8+jDt5knQhkDx3gS3/6B0kYznPf+KzSJGT33cnL+0aY/TYMU7+r//NxJEb6e/czVAVyQfPyvfTy3MpZvKUCKQhsqWAmcceQ44fp3PiOfxzM5z/vQeor30NydtuJ3vjbfS+doJv/PePMXrgFsqhOY4dO8GOO+9ieNdeTj/+BeaeO8/ef/FTLB3YzOa3v4UvP/ZF9txxkKGDByGIjYFvACsWHOPXH+KO+/8xW6+9FlBUmzsGYqPsV5SokkRF1OPw9HzKi5tG2Pmev8emXfuZefElOlu6jLz3tZw5vBUqRbbsYux9N/Lyrh3M5rDrXW+nv3OSpQpGioi6K1/tK4moKFlwOEmo0xEuDo+z7fBN5Dcos5KSVx3mfc63b9jNa//5zxG+9g0unpmnG0aZeM9PEI+8jjO+S7+7hV33/0Omr7+O+axg2zv+DqOjYxSk5JVQWFW5IaxYcIzu2c9t918PkqBEvPOoc4MFabBeyhUokCikwRMko+88Z8ZS0re/kTQ6+sBUBpVzbFLHph9/KwsJ+Coh6wde2rcLuW6STi9nbEm52OWK2zmNoIOnYWcSZdM9t4O8kQVKoCKS0u11mHMOqRzntu9A3rWNMlVGq5olcZz3OcScidveRKGR2bRDIGVqIuOae38cXzt60UEqXF7WyaxXK3dXJclQaFasQnACOlgr4tKKVZYdl11afctJJI0OXzkEIYrnQqb4KCRRSGplpGpWBpvzSlJ7Ci+AUpHjo+JST33pwZUruDThLImKxxFKJYgjSkp0CYV3FLlH1NMtIWhO4QJ9V7OUOIYLz2id0UuF+cTTqTxZ7YGUMlFmEyXFNZ85eJbGrG8rN+VcBitSDarlwXlhafHXcNGBKJWPzXJ9QZpH5EXI62Y9k2YpDmExixSJ4qPDVQquplspwSVEcdQuUPhAGuWKm9sNliGMogQfgGZBIDSlUzpygcVUWcpqFMiC0K2Eidqx5BNK74lEFrMCr824jNMKJJJFqJ3QT+Vym22fr3srFhyOQKRZW0JgeWUqwA6kK0ijI4pSJpHaRYJrlgoEx2jhmMuhnyvdCnyMdOpmecAiBaQmLQQfPbUTJDI4Y68wKqnNwLRKIDglSLNuaRLBR0/pHUEgSs2moiYP0E9gKRFilCbgEJwENpUVQrNAUzkoY7oVEIUlD2lUvDbrfpj1bcWCQ/Dff9jaAfTXiq5Zx9OrDIp7Wa7YiqT5k3Sw5IVDuPTAqVdAExbT5hH5VBV1SqJXrjaQSyMOvgkMmkB3g76jSvMMUaqKU0eUpkJJEJoHmgMQESCJzeEUZPD9KLVr5qXkERzx8jqoZl1bueD43rsndgC9ojjox8mgG7FMoPbN5ksGM/Tjd2zbS2NIYXkgQQdjS68wsnBppXIurzt4aYyF5TEJofbNnE9Z/jkMpo9fmpZ+6Z2XvlWWg8Ivv/9vvAnMGmbjVKYVO+8NWHAYY/4WLDiMMa1ZcBhjWrPgMMa0ZsFhjGnNgsMY05oFhzGmNQsOY0xrFhzGmNYsOIwxrVlwGGNas+AwxrRmwWGMac2CwxjTmgWHMaY1Cw5jTGsWHMaY1iw4jDGtWXAYY1qz4DDGtGbBYYxpzYLDGNOaBYcxpjULDmNMaxYcxpjWLDiMMa1ZcBhjWrPgMMa0ZsFhjGnNgsMY05oFhzGmNQsOY0xrFhzGmNYsOIwxra3J4FDV5ddLX8b8MFgvx3qy2g14JSJClmVkWbZuNqgxf1tJkpCm6Wo3429kTQdHCIHTp0/z6KOPUlXVajfHmFeVc45Tp07h3JrsCHyXNRkcIgLAgQMH2LNnD0ePHl3lFhnz6hMR9u7dy65du1a7KT+Q6BrvA6zx5hlz1V26cK5la7Li+E7rYSMa88Nm7XemjDFrjgWHMaY1Cw5jTGsWHMaY1iw4jDGtWXAYY1qz4DDGtGbBYYxpzYLDGNOaBYcxpjULDmNMaxYcxpjWLDiMMa1ZcBhjWrPgMMa0ZsFhjGnNgsMY09r/A5kVExsxhNH0AAAAAElFTkSuQmCC)
Maths-General
Maths-
Add: 5x2 - 8xy + 3y2, 4x2 + 3xy + 7y2, 3x2 - 11xy - 8y2
Add: 5x2 - 8xy + 3y2, 4x2 + 3xy + 7y2, 3x2 - 11xy - 8y2
Maths-General
Maths-
Use a ruler and protractor to draw an obtuse isosceles triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?
Use a ruler and protractor to draw an obtuse isosceles triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?
Maths-General
Maths-
The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.
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)
The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.
![](data:image/png;base64,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)
Maths-General
Maths-
Use a ruler and protractor to draw a right scalene triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?
Use a ruler and protractor to draw a right scalene triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?
Maths-General
Maths-
A farmer wants to plant three rectangular fields so that the widths are the same. The areas of the fields, in square yards, are given by the expressions
and
. What is the width of the fields if x =3 and y = 4.
A farmer wants to plant three rectangular fields so that the widths are the same. The areas of the fields, in square yards, are given by the expressions
and
. What is the width of the fields if x =3 and y = 4.
Maths-General
Maths-
(ii) x2 + y2, 2x2, –3y2, 3x2 – 4y2
(ii) x2 + y2, 2x2, –3y2, 3x2 – 4y2
Maths-General