Question

points q and r are midpoints of the sides of triangle abc. what is aq? 10 units 14 units 20 units 32 units

Explanation:

Step1: Apply Midsegment Theorem

The midsegment $QR$ is half of $BC$, so $2(2p+3)=6p-4$.

Step2: Solve for $p$

Expand and simplify:
$$4p + 6 = 6p - 4$$
$$6 + 4 = 6p - 4p$$
$$10 = 2p$$
$$p=5$$

Step3: Calculate length of $AQ$

Substitute $p=5$ into $AQ=4p$:
$$AQ=4\times5$$

Answer:

A. 20 units