Question

in this picture, b and f are midpoints.
ce = 90
bf = ?

Explanation:

Step1: Identify Midsegment Theorem

Since B and F are midpoints, BF is a midsegment of the relevant triangle (or trapezoid, but using midsegment concept). The midsegment theorem states that the midsegment is parallel to the base and half its length.

Step2: Apply the Theorem to CE

Given \( CE = 90 \), by the midsegment theorem, \( BF=\frac{1}{2}CE \).

Step3: Calculate BF

Substitute \( CE = 90 \) into the formula: \( BF=\frac{90}{2}=45 \).

Answer:

45