Maths-
General
Easy
Question
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
.
The correct answer is: Hence proved
Solution :-
Aim :- Prove that ![4 open parentheses A Q squared plus B P squared close parentheses equals 5 A B squared](data:image/png;base64,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)
Hint :- Applying pythagoras theorem to both triangles AQC and PBC. find the AQ2 and BP2 add them and substitute proper conditions to prove the condition .
Explanation(proof ) :-
Given, p is midpoint of CA i.e PC = ½ AC
Q is mid point of BC i.e QC = ½ BC
Applying pythagoras theorem to triangle AQC we get ,
![A Q squared equals A C squared plus Q C squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAASCAYAAAB8Ur29AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAnFJREFUeNrtWE1ERFEUfpKRJFokI4mMzCptkiSJzCJJ2qRVEi1G0iJGqxaJpEWLNkmSFpEWSRItkjHaZCRpES3SIm0yRsZoM53DGcb1fu55vXvfXHX4mJl3573zfe+7955zLUtPlAjfgAwgZpkVpudfVRxqAElA1jIzTM+/qjgULbPD9PxD5zAIuDFYPNPzZ3NYlBiTAFwCCuSuNGDIYWyU9qMOjYRlOGA+G4B74vEKWAU0hZg/R1dlHCapiKh1GbMOOAX00F6DGAN8APqFsZ2Ac0pCV8hwWKK8Bih/jDYyz35I+XN0VcYB3fMAuAKMO4xZAOw4XEPH3gruuwA0ajSADIcUYFfiXr/Jv8Qcz9FVKQdMYgowDdi2uY4ue6xwnV3kABH6jA+Pa973vDjgrHjxWCWsAPLnmICrqzIOfbRkYLTQQ8RYA8x73AdnYLfQo1bCq591QxAcNiXrBctnDn5MwNVVCQd01B05shxZGwehW9s9HoqFSX0Ila8shydNByYcE3B1VcJhhYoM0Z1J4bChIPEiciG1P7Icigpfup+VjKurEg5xh1Mk7CnPhETyHveaABxoFpHDISLBQfdKwNVVCYe0i+him1XwKF4yFfuWzuBw+NK0XXG2A66ugXKYA2y5XD8CjFR8RzfOOIxdpkML3cHlsGezbYRtAq6ugXGIUj/d4DJmVhAYl903ar/Ks6sLcEj7r+7wwwELsE8St3yqVgcYJXGHQzABV9fAOBzTn9yiFfAs/NYLuKbipEhkkyEVg345xGj25Sl/LLpOhBVDd3B1rSoOeET7Tu0Zzrpm6z/+pK64HKeof038vz8zdP0BtcD2LhISII8AAADUdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkE8L21pPjxtc3VwPjxtaT5RPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz49PC9tbz48bWk+QTwvbWk+PG1zdXA+PG1pPkM8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtaT5RPC9taT48bXN1cD48bWk+QzwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+mnkOXAAAAABJRU5ErkJggg==)
As we know QC = ½ BC we get
— Eq1
![](data:image/png;base64,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)
Applying pythagoras theorem to triangle PBC we get ,
![B P squared equals P C squared plus B C squared](data:image/png;base64,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)
As we know PC = ½ AC we get
— Eq2
Applying pythagoras theorem to triangle ABC we get ,
— Eq3
Adding Eq1 and Eq2 we get ,
![A Q squared plus B P squared equals A C squared plus fraction numerator B C squared over denominator 4 end fraction plus B C squared plus fraction numerator A C squared over denominator 4 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow A Q squared plus B P squared equals 5 over 4 open parentheses A C squared plus B C squared close parentheses](data:image/png;base64,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)
Substitute Eq 3 in the above , we get
![A Q squared plus B P squared equals 5 over 4 open parentheses A B squared close parentheses not stretchy rightwards double arrow 4 open parentheses A Q squared plus B P squared close parentheses equals 5 A B squared](data:image/png;base64,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)
Hence proved
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Prove that △ CAB ≅△ CAD
![](data:image/png;base64,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)
Prove that △ CAB ≅△ CAD
![](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Write the following in expanded fractional form :
d) 0.00016
Write the following in expanded fractional form :
d) 0.00016
Maths-General
Maths-
In the kite shown, what additional information is required to
prove that △ CAB ≅△ CAD ?
![](data:image/png;base64,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)
In the kite shown, what additional information is required to
prove that △ CAB ≅△ CAD ?
![](data:image/png;base64,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)
Maths-General
Maths-
![](data:image/png;base64,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)
In
and
. If YO and ZO are bisectors of
and
respectively, find
and
.
![](data:image/png;base64,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)
In
and
. If YO and ZO are bisectors of
and
respectively, find
and
.
Maths-General
Maths-
Write the following in expanded fractional form :
c) 4.00524
Write the following in expanded fractional form :
c) 4.00524
Maths-General
Maths-
Write the following in expanded fractional form :
b) 2.0504
Write the following in expanded fractional form :
b) 2.0504
Maths-General
Maths-
Write the following in expanded fractional form :
a) 2.555
Write the following in expanded fractional form :
a) 2.555
Maths-General