Question

in this picture, b and f are midpoints.
a
b f
2x
c 88 e
x = ?

Explanation:

Step1: Apply Midline Theorem

Since B and F are midpoints, BF is the midline of triangle \( \triangle ACE \). By the Midline Theorem, the midline is half the length of the third side. So \( BF=\frac{1}{2}CE \).

Step2: Substitute Values

We know \( BF = 2x \) and \( CE = 88 \). Substituting into the formula: \( 2x=\frac{1}{2}\times88 \).

Step3: Solve for x

Simplify \( \frac{1}{2}\times88 = 44 \), so \( 2x = 44 \). Divide both sides by 2: \( x=\frac{44}{2}=22 \).

Answer:

22