Question

Find the length of AE if BD || AE and BD is a midsegment of ▲ACE

a. √12.25
b. 49
c. 12.25
d. 7

Answer 1

to the risk of sounding redundant.

well, in a triangle, the midsegment is half of its parallel base, namely in this case BD = ½AE.

well, what is the length of BD anyway?

well, we know its coordinates are -1,3 and 2.5,3

`image`

Answer 2

AC = 2 BD

Distance BD = √[(2.5+1)^2 +(3-3)^2]

Distance BD = √(3.5)^2

Distance BD = 3.5

AC = 2 * 3.5 = 7

Answer

d. 7