Question

find the missing side.

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute 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. Since \(c>0\) (length of a side), \(c=\sqrt{289}\)
$$c = 17$$

Answer:

17