The bases of trapezoid $ABCD$ are $\overline{AB}$ and $\overline{CD}$. Let $M$ be the midpoint of $\overline{AD}$. If the areas of triangles $ABM$ and $CDM$ are 5 and 17, respectively, then find the area of trapezoid $ABCD$.
11 answers
since M is the midpoint of AD, the altitude to M is half the altitude of ABCD. The triangles have the same bases as ABCD, so the sum of the two triangles is half the area of the trapezoid.
15
15 is not the answer
It is 44
laura, stop cheating!
The answer is always 21.
Or maybe it's 22. Oh well, guess it's too late now anyway.
Or maybe it's 22. Oh well, guess it's too late now anyway.
Please do not ask for outside help on the problems we assign in class.
53
46
52
WTF LAURA THIS IS FROM AOPS GO DIE