Question

what is eh? eh =

Explanation:

Step1: Identify congruent triangles

Since $\angle EFG=\angle EHG = 90^{\circ}$, $\angle FEG=\angle HEG$ (common - angle), and $EG = EG$ (common - side), by the Angle - Angle - Side (AAS) congruence criterion, $\triangle EFG\cong\triangle EHG$.

Step2: Use congruent - triangle property

For congruent triangles, corresponding sides are equal. In $\triangle EFG$ and $\triangle EHG$, $EF$ and $EH$ are corresponding sides. Given $EF = 27$, so $EH=27$.

Answer:

27