High School

Points B, D, and F are midpoints of the sides of a triangle. If EC = 44 and BF = 2x - 6, find the value of x.

A. 50
B. 14
C. 25
D. 22

Answer :

Final answer:

To find the value of x, set up an equation using the fact that B, D, and F are midpoints of the sides of a triangle.

Explanation:

To find the value of x, we need to set up an equation using the information given. We know that B, D, and F are midpoints of the sides of a triangle. This means that the lengths of BF and DF are equal to half the lengths of the corresponding sides of the triangle. Let's set up the equation:

BF = 2x - 6

EC = 44

Since BF is equal to half the length of EC, we can write:

2x - 6 = 44/2

2x - 6 = 22

2x = 22 + 6

2x = 28

x = 28/2

x = 14

Therefore, the value of x is 14.