Question

Points B, D, and F are midpoints of the sides of ACE. EC = 32 and BF = 2x - 10. Find the value of x.

Answer 1

13

Explanation:

Remark

This only works if B is between AC and F is between AE

Givens

CE = 32

BF = 1/2 CE Properties of midpoints. BF is parallel to and 1/2 of CE

BF = 1/2 * 32

BF = 16

Equation

2x - 10 = 16 Add 10 to both sides

2x - 10 + 10 = 16 + 10 Combine

2x = 26 Divide by 2

2x/2 = 26/2 Do the division

x = 13