#1**+2 **

DC is parallel to AB

And FG = 3 and AB = 6

Therefore.....FG splits the sides of triangle AEB in a 1: 1 ratio

This also means that the altitude of triangle EFG = BC = 3

So...the altitude of triangle AEB is twice this = 6

So...the area of triangle AEB = 1/2 * AB * 2 BC = 1/2 * 6 * 6 = 18 units^2

CPhill Oct 14, 2018