Question

find the length of “c” using the pythagorean theorem.

Explanation:

Step1: Recall Pythagorean Theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Here \(a = 5\), \(b = 12\).

Step2: Substitute values into formula

\(c^{2}=5^{2}+12^{2}=25 + 144=169\).

Step3: Solve for \(c\)

\(c=\sqrt{169}=13\).

Answer:

13