Question

what is the perimeter of △feg? add text

Explanation:

Step1: Identify congruent triangles

By ASA (Angle - Side - Angle) congruence criterion, \(\triangle FEG\cong\triangle ABC\).

Step2: Find the sides of \(\triangle FEG\)

Since \(\triangle FEG\cong\triangle ABC\), \(FE = AB = 4\mathrm{cm}\), \(EG=BC = 9\mathrm{cm}\), \(FG = AC = 8\mathrm{cm}\).

Step3: Calculate the perimeter

Perimeter of \(\triangle FEG=FE + EG+FG\).
Substitute the values: \(4 + 9+8\).
\(4+9 + 8=(4 + 9)+8=13 + 8=21\mathrm{cm}\).

Answer:

\(21\mathrm{cm}\)