Question

use the pythagorean theorem to give an equation that is true for the given triangle. do not solve the equation. (1 point)

Explanation:

Step1: Recall the Pythagorean Theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), the formula is \(a^{2}+b^{2}=c^{2}\).

Step2: Identify the legs and hypotenuse

Here, \(a = 9\) in, \(b = 12\) in, and \(c\) is the hypotenuse.
Substitute \(a\) and \(b\) into the formula: \(9^{2}+12^{2}=c^{2}\).

Answer:

\(9^{2}+12^{2}=c^{2}\)