Question

for the following right triangle, find the side length x.

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

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

Step3: Solve for \(x\)

Take square root of both sides. Since \(x\) is a side - length (positive), \(x=\sqrt{289}\)

Answer:

\(17\)