Question

find the value of c.
7 m
3 m
pythagorean theorem: a² + b² = c²
c = √?

Explanation:

Step1: Identify sides for Pythagorean theorem

Let $a = 3$, $b = 7$.

Step2: Apply Pythagorean theorem

According to $a^{2}+b^{2}=c^{2}$, we have $c^{2}=3^{2}+7^{2}$.
$c^{2}=9 + 49$.
$c^{2}=58$.

Step3: Solve for $c$

$c=\sqrt{58}$.

Answer:

$\sqrt{58}$