MathNet 2023-part-02 — 191 problems (EN–VI) Question 174

Let $ABCD$ be a convex quadrilateral with $AB = 5$, $AD = 17$, and $CD = 6$. If the angle bisectors of $\angle BAD$ and $\angle ADC$ intersect at the midpoint of $BC$, find the area of $ABCD$.