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if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

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1 Answers

saiomkar kandukuri
33 Points
9 years ago

area of the triangle is half the product of base and height...

name the unknown side as x

convert the known value into hypotenuse and unknown sides by using pythagoras theorem

differentiate and equal it to zero..

you would get the value of x

the find the angle between the sides

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