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: Write the Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 8\), \(b = 15\), and \(c\) is the hypotenuse.

Step2: Substitute the values

$$8^{2}+15^{2}=c^{2}$$
$$64 + 225=c^{2}$$
$$289=c^{2}$$

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{289}\)
Since \(\sqrt{289}=17\)

Answer:

\(17\)