Question

these figures are congruent. what is fh? kilometers

Explanation:

Step1: Match congruent triangle parts

Identify corresponding angles: $\angle H = \angle J = 42^\circ$. In congruent triangles, sides opposite corresponding congruent angles match, or sides adjacent to matching angles correspond. For $\triangle FHG$ and $\triangle LJK$, side $FH$ corresponds to side $LK$.

Step2: Identify length of corresponding side

The length of $LK$ is given as 38 km. Since congruent triangles have equal corresponding sides, $FH = LK$.

Answer:

38 kilometers