Question

the lenght of 2 sides of right angle triangle is equal. the square of its hypotenause is 800cm2. find the length of each side.

Answer 1

let length of each of equal sides be x
so the length of hypotenuse will be
√ x²+x²
=√2x²
= x√2 cm

given that the square of its hypotenuse is 800cm²
= (x√2)²=800
=> 2x²=800
=>x²=400
=> x=20 cm
therefore length of each side would be
20 cm ,20 cm , 20√2 cm