Question

what is the length of the missing side of this triangle?
?
17
15
2
\sqrt{514}
\sqrt{2}
8

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Rearrange for missing side

Let missing side = $x$. $x^2 = c^2 - b^2$

Step3: Substitute given values

$x^2 = 17^2 - 15^2 = 289 - 225$

Step4: Calculate and solve for x

$x^2 = 64$, so $x = \sqrt{64} = 8$

Answer:

D. 8