### Home > GC > Chapter 8 > Lesson 8.3.3 > Problem 8-114

8-114.

is the midsegment of Δ *ACD*, shown below. Homework Help ✎

Find the perimeter of Δ

*ACD*.If the area of Δ

*ABE*is 54 cm^{2}, what is the area of Δ*ACD*?

The perimeter of Δ*ACD* = (2)(the perimeter of Δ*ABE*).

Since *BE* is a midsegment, the two triangle have a zoom factor of 2, that is why it is multiplied by 2.

The area of Δ*ACD* = (the area of Δ*ABE*)(the zoom factor)².