Question

4. The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the

length of each leg.​

Answer 1

`Opposite = Adjacent= 5`

Explanation:

Given

`Hypotenuse^2 = 50`

`Opposite = Adjacent`

Required

Find the length of each leg

This is calculated using Pythagoras Theorem

`Opposite^2 + Adjacent^2 = Hypotenuse^2`

`Opposite^2 + Adjacent^2 = 50`

Represent the opposite and adjacent with x

`x^2 + x^2= 50`

`2x^2 = 50`

Divide both sides by 2

`x^2 = 25`

Take square roots

`x = 5`

Hence:

`Opposite = Adjacent= 5`