Question

in $\triangle fgh$, $mangle f = 60^circ$, $mangle g = 68^circ$, and $mangle h = 52^circ$. which side of $\triangle fgh$ is the shortest?
a. $overline{gh}$
b. cannot be determined
c. $overline{fg}$
d. $overline{fh}$

Explanation:

Step1: Recall triangle side-angle rule

In any triangle, the shortest side is opposite the smallest interior angle.

Step2: Identify smallest angle

The angles are $m\angle F=60^\circ$, $m\angle G=68^\circ$, $m\angle H=52^\circ$. The smallest angle is $\angle H = 52^\circ$.

Step3: Match angle to opposite side

The side opposite $\angle H$ is $\overline{FG}$.

Answer:

C. $\overline{FG}$