Question

use the pythagorean theorem to find the length of the hypotenuse of the triangle below.
show your work here
hint: to add the square root symbol (√), type
oot\

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 5\), \(b=12\). Substitute into the formula: \(5^{2}+12^{2}=c^{2}\)

Step2: Calculate squares

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

Step3: Find square root

\(c=\sqrt{169}\)

Answer:

\(13\)