Question

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

Explanation:

Step1: Write down the Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 8\), \(b = 13\), and \(c\) is the hypotenuse.

Step2: Substitute the values into the formula

$$8^{2}+13^{2}=c^{2}$$
$$64 + 169=c^{2}$$
$$233=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{233}$$
$$c\approx15.26$$

Answer:

\(15.26\)