Question

which equation would you use to solve for x? 5² + 13² = x² x² + 5² = 13² 13² + x² = 5²

Explanation:

Step1: Recall Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side).

Step2: Identify sides

Here, the hypotenuse \(c = 13\) (longest side), one leg \(a=x\), and the other leg \(b = 5\).
Substitute into the Pythagorean theorem: \(x^{2}+5^{2}=13^{2}\)

Answer:

\(x^{2}+5^{2}=13^{2}\) (the second option)