+461 Point D is the midpoint of median AM of triangle ABC. Point E is the midpoint of AB, and point T is the intersection of BD and ME. Find the area of triangle BEC if [ABC] = 14.
+897 Height of ABC = AM
Base of ABC = BC
\([ ABC ] = (1/2) (BC) (AM) = 14 → (BC) (AM) = 28 \)
Height of BEC = (1/2)AM
Base of BEC = BC
\([ BEC ] = (1/2) (BC) (1/2)AM = (1/4)(BC) (AM) = (1/4) (28) = 7\)
So our final answer is 7.
Thanks! :)
