Question

find q.

write your answer as a whole number or a decimal. do not round.
q = \boxed{} yards

submit

Explanation:

Step1: Identify Midline

Since \( DC = CB = 34\) yd, \( C\) is the midpoint of \( DB\). \( EC \parallel AB\) (both perpendicular to \( DA\)), so \( EC\) is the midline of \(\triangle DAB\).

Step2: Apply Midline Theorem

Midline theorem states midline length is half of the base. So \( q=\frac{1}{2}AB\).

Step3: Calculate \( q\)

Given \( AB = 32\) yd, then \( q=\frac{32}{2}=16\) yd.

Answer:

\( q = 16\) yards