Question

find the value of c. pythagorean theorem: a² + b² = c

Explanation:

Step1: Identify sides for Pythagorean theorem

Let $a = 4$ and $b = 9$. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$.

Step2: Substitute values into the formula

$c^{2}=4^{2}+9^{2}=16 + 81$.

Step3: Calculate the sum

$c^{2}=97$.

Step4: Solve for $c$

$c=\sqrt{97}$.

Answer:

$\sqrt{97}$