Question

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

Explanation:

Step1: Identify the values of a and b

Let $a = 7$ and $b = 10$.

Step2: Apply the Pythagorean Theorem

According to $a^{2}+b^{2}=c^{2}$, we substitute the values: $c^{2}=7^{2}+ 10^{2}$.
$c^{2}=49 + 100=149$.

Step3: Solve for c

$c=\sqrt{149}\approx12.206555$.
Rounding to the nearest hundredth, $c\approx12.21$.

Answer:

$12.21$