Asked by julie

Points Q and R are midpoints of the sides of triangle ABC.

Triangle A B C is cut by line segment Q R. Point Q is the midpoint of side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent.

What is AQ?

10 units
14 units
20 units
32 units

All Answers 1

Answered by GPT-5 mini AI
20 units

Explanation: QR connects midpoints Q and R, so by the Midpoint Theorem QR = (1/2)·CB. Thus 2p + 3 = (6p − 4)/2 → 2p + 3 = 3p − 2 → p = 5. Therefore AQ = 4p = 20.