Question 20
In trapezoid $ABCD$, sides $AB$ and $CD$ are parallel. Let $M$ be the midpoint of diagonal $AC$, $N$ the midpoint of diagonal $BD$, and $P$ the midpoint of side $AB$. We know that $AB=15\ \mathrm{cm}$, $CD=24\ \mathrm{cm}$, and the height is $h=14\ \mathrm{cm}$.
a) Find the length of segment $MN$.
b) Find the area of triangle $MNP$.
a) Find the length of segment $MN$.
b) Find the area of triangle $MNP$.