Question

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

Answer 1

Answer:

$Opposite = Adjacent= 5$

Step-by-step 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:

$Opposite = Adjacent= 5$