Question

solve for c. 9 12 c =? pythagorean theorem: a² + b² = c² round your answer to the nearest hundredth.

Explanation:

Step1: Apply Pythagorean theorem

$a = 9$, $b = 12$, $a^{2}+b^{2}=c^{2}$ becomes $9^{2}+12^{2}=c^{2}$.

Step2: Calculate squares

$9^{2}=81$, $12^{2}=144$, so $81 + 144=c^{2}$, then $c^{2}=225$.

Step3: Solve for c

$c=\sqrt{225}=15$. Rounding to nearest hundredth gives $c\approx15.00$.

Answer:

$c\approx15.00$