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solve for c. pythagorean theorem: $a^{2}+b^{2}=c^{2}$. round your answe…

Question

solve for c. pythagorean theorem: $a^{2}+b^{2}=c^{2}$. round your answer to the nearest hundredth.

Explanation:

Step1: Identify values of a and b

Let $a = 7$ and $b = 8$.

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:

$10.63$