Let line AC be perpendicular to line CE. Connect A to the mid-point of CE which is D, and connect E to the mid-point of AC which is B. If AD and EB intersect at point F, BC=CD=15cm, then find the area of △DFE.
AD = BE = sqrt( 302 + 152 )
FD = 1/3AD
FE = 2/3BE
Now we have all 3 sides of a triangle DFE.
We can use Heron's formula to calculate the area of this triangle.
Area of △DFE = 75 cm2