Question

Find the value of x. Write your answer in simplest form.

Answer 1

By using Pythagoras Theorem:-

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

Solving The Question

H²= B²+ P²

`(9 √(2) ) {}^(2) = x {}^(2) + {x}^(2) \\ \\ \implies \: 81 * 2 = 2x {}^(2) \\ \\ \implies162 = 2x {}^(2) \\ \\ \implies (162)/(2) = x {}^(2) \\ \\ \implies \cancel(162)/(2) = x {}^(2) \\ \\ \implies81 = {x}^(2) \\ \\ \implies x = √(81) \\ \\ \implies \: x = 9`

Hope This Helps You ❤️