# Review 2.2,2.5,3.5,4.1,5.7 #21

### K. Sullivan in Mr. Kirkland's Math II Class

A surveyor needs to measure the distance, AB, across the lake. Beginning at E, he locates the midpoint, C, of AE and the midpoint, D, of BE. He then measures CD. What is AB?

I have included a Brace Map with information from the word problem, because it helps me stay organized and understand what the problem wants.

Now I will find the length of AB and show you how to check it.

AB = 80(2)

AB = 160

Check it!

midsegment formula = 1/2(third side)

midsegment formula = 1/2(160)

midsegment = 80