Question

Point B,D, and F are midpoints of the sides of Triangle ACE. EC=38 and DF=16 Find ACTHE DIAGRAM IS NOT TO SCALE

Answer 1

Step 1:

A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.

Step 2:

FB is the midsegment of EC

FD is the midsegment of AC

DB is the midsegment of AE

Step 3

EC = 38

DF = 16

$\begin{gathered} AC\text{ = 2DF} \\ \text{AC = 2 }\times\text{ 16} \\ AC\text{ = 32} \end{gathered}$

Final answer

AC = 32