Question

1. a sculpture shaped like a pair of right triangles has leg lengths of 8 feet and 15 feet. what is the length of the hypotenuse of the sculpture?

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $a=8$, $b=15$, $c$ is hypotenuse.

Step2: Calculate sum of squared legs

$8^2 + 15^2 = 64 + 225 = 289$

Step3: Solve for hypotenuse

$c = \sqrt{289} = 17$

Answer:

17 feet