+972 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.
+1950 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! :)
