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

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Solving The Question

H²= B²+ P²

$(9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9$

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Answer 2

Answer:

by using Pythagoras theorm

${x}^{2} + {x}^{2} = {(9 \sqrt{2)} }^{2} \\ 2 {x}^{2} = 81 \times 2 \\ 2 {x}^{2} = 162 \\ {x}^{2} = 81 \\ x = \sqrt{81} \\ x = 9$

Step-by-step explanation:

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