Question

identify the largest angle of (\triangle fgh).

Explanation:

Step1: Recall the triangle angle - side relationship

In a triangle, the largest angle is opposite the longest side. This is based on the principle that in a triangle, if one side is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

Step2: Identify the longest side of $\triangle FGH$

The sides of $\triangle FGH$ are: $FG = 42$ cm, $GH=40$ cm, and $FH = 37$ cm. By comparing the lengths: $42>40 > 37$. So the longest side is $FG$.

Step3: Find the angle opposite the longest side

The angle opposite side $FG$ is $\angle H$ (because in $\triangle FGH$, side $FG$ is between vertices $F$ and $G$, so the angle opposite to it is at vertex $H$, i.e., $\angle H$).

Answer:

The largest angle of $\triangle FGH$ is $\angle H$.