Question

Points B,D,F are midpoints of the sides of triangleACE , EC=30 and DF =17 Find Ac

Answer 1

34

Explanation:

17*2 will give you AC , which is 34

Answer 2

Triangle AEC & FED are similar:

F & D being the middle of AE & CE, ==> FD IS // AC &
Angle EAC =EFD (CORRESPONDING ANGLE & SAME FOR ECA=EDF,

Hence we can write propriety of similar triangle:

CE/CD = AC/FD (CE = 30 & CD=ED =15 & FD = 17)

Then 30/15 = AC/17 ==> AC=34