Question

Two legs of a right angle are equal and the square of each hypotenuse is 50 find the length of each leg

Answer 1

If two sides of the right angle are equal then it is a isoceles angle
Let each equal side be a
Then according to the Greek philosopher Pythagoras ;
(Hypotenuse)²=a²+a²
⇒50 = 2a²
⇒ a² = 50/2
⇒ a² = √25
⇒ a = 5 units