Question

1. two side lengths of the right triangle shown below are given in inches. how many inches long is the hypotenuse? a. $\sqrt{22}$ b. $\sqrt{55}$ c. $\sqrt{73}$ d. 11 e. 73

Explanation:

Step1: Apply Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $a=8$, $b=3$, $c$=hypotenuse.

Step2: Calculate sum of squared sides

$8^2 + 3^2 = 64 + 9 = 73$

Step3: Solve for hypotenuse

$c = \sqrt{73}$

Answer:

C. $\sqrt{73}$