Question

start by substituting the value of a and b in the pythagorean theorem equation. the pythagorean theorem says that if a, b, and c are the sides of a right - triangle, where c is the hypotenuse, then: a² + b² = c². c =? a = 9 a² + b² = c² b = 3 ²+ ² = c²

Explanation:

Step1: Substitute values of a and b

Given $a = 9$ and $b = 3$, substitute into $a^{2}+b^{2}=c^{2}$. So we get $9^{2}+3^{2}=c^{2}$.

Step2: Calculate squares

$9^{2}=81$ and $3^{2}=9$, then $81 + 9=c^{2}$, so $c^{2}=90$.

Step3: Find c

$c=\sqrt{90}=\sqrt{9\times10}=3\sqrt{10}$.

Answer:

$c = 3\sqrt{10}$