Question

what is the length of the hypotenuse for a right triangle with legs of length 8 and 15? a 16 b 17 c 18 d 19

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Calculate squares of legs

$8^2 = 64$, $15^2 = 225$

Step3: Sum the squared values

$64 + 225 = 289$

Step4: Find square root of sum

$c = \sqrt{289} = 17$

Answer:

B. 17