Question

julian describes an angle in the triangle using these statements. gh is the adjacent side. hk is the opposite side. gk is the hypotenuse. which angle(s) is julian describing? ∠g ∠h ∠k ∠h and ∠k

Explanation:

Step1: Recall right - triangle side - angle relationships

In a right - triangle, for an acute angle, the hypotenuse is the longest side opposite the right - angle, the opposite side is the side across from the angle, and the adjacent side is the non - hypotenuse side next to the angle. Given $\overline{GK}$ is the hypotenuse, $\overline{HK}$ is the opposite side, and $\overline{GH}$ is the adjacent side. This is the case for $\angle K$. For $\angle G$, the opposite side would be $\overline{HK}$ and the adjacent side would be $\overline{GH}$ but the hypotenuse is still $\overline{GK}$.

Step2: Determine the angle

Since $\overline{HK}$ is the opposite side and $\overline{GH}$ is the adjacent side with respect to $\angle K$.

Answer:

B. $\angle K$