Find the value of x.

Question

asked Sep 14, 2022 38.8k views

2 Answers

Candie · Answer 1 · 2022-09-17T01:25:54+0000

Answer:

x = 24

Explanation:

When given a right triangle, one can apply the Pythagorean theorem. The Pythagorean theorem states;

a^2 + b^2 = c^2

Where (
) and (
) are legs or the sides adjacent to the right angle, and (
) is the hypotenuse or the side opposite the right angle.

Substitute the given value, and solve for the missing value;

$7^2 + x^2 = 25^2\\$

Simplify,

49 + x^2 = 625

Inverse operations,

$49 + x^2 = 625\\-49\\\\x^2 = 576\\\sqrt{}\\\\x = 24$