Question

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

Explanation:

Step1: Identify values of a and b

$a = 7$, $b = 8$

Step2: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}=7^{2}+8^{2}=49 + 64=113$

Step3: Solve for c

$c=\sqrt{113}\approx10.63$

Answer:

$c\approx10.63$