Question

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

Explanation:

Step1: Identify the sides for formula

Let $a = 10$, $b = 13$. According to Pythagorean theorem $a^{2}+b^{2}=c^{2}$.

Step2: Calculate $a^{2}$ and $b^{2}$

$a^{2}=10^{2}=100$, $b^{2}=13^{2}=169$.

Step3: Find $c^{2}$

$c^{2}=a^{2}+b^{2}=100 + 169=269$.

Step4: Solve for $c$

$c=\sqrt{269}\approx16.40$.

Answer:

$16.40$