Question

solve for c.
5
8
c = ?
pythagorean theorem: a² + b² = c²
round your answer to the nearest hundredth.

Explanation:

Step1: Substitute values into formula

$$a = 5, b = 8$$
$$5^{2}+8^{2}=c^{2}$$

Step2: Calculate squares

$$25 + 64=c^{2}$$
$$89=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{89}$$
$$c\approx9.43$$

Answer:

\(9.43\)