Question

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

Explanation:

Step1: Apply Pythagorean theorem

$a = 7$, $b = 10$, and the formula is $a^{2}+b^{2}=c^{2}$. So $c^{2}=7^{2}+ 10^{2}$.

Step2: Calculate the squares

$7^{2}=49$, $10^{2}=100$. Then $c^{2}=49 + 100=149$.

Step3: Solve for c

$c=\sqrt{149}\approx12.206556$.

Step4: Round to nearest hundredth

$c\approx12.21$

Answer:

$12.21$