Question

what is fg? fg =

Explanation:

Step1: Identify congruent - triangles

Since $\angle DEG=\angle FEG$, $\angle D = \angle F = 90^{\circ}$, and $EG$ is common to both $\triangle DEG$ and $\triangle FEG$, by the AAS (Angle - Angle - Side) congruence criterion, $\triangle DEG\cong\triangle FEG$.

Step2: Use congruence property

For congruent triangles $\triangle DEG$ and $\triangle FEG$, corresponding sides are equal. So $FG = DG$.

Step3: Find the length of $FG$

Given that $DG = 6$, then $FG=6$.

Answer:

$6$