Question

17 which of the following correctly uses the pythagorean theorem to find the missing side ( x ) ? a right triangle with legs ( x ) and 8, hypotenuse 10. \\( \boldsymbol{\text{a}} \\) ( 8^2 + (10)^2 = x^2 \\) \\( \boldsymbol{\text{b}} \\) ( x^2 + (10)^2 = 8^2 \\) \\( \boldsymbol{\text{c}} \\) ( x + 8 = 10 \\) \\( \boldsymbol{\text{d}} \\) ( x^2 + 8^2 = (10)^2 \\)

Explanation:

Step1: Identify sides in right triangle

Hypotenuse = 10, legs = x and 8

Step2: Apply Pythagorean Theorem

$leg1^2 + leg2^2 = hypotenuse^2$ → $x^2 + 8^2 = 10^2$

Answer:

D. $x^{2}+8^{2}=(10)^{2}$