Coplanar squares abgh and bcdf are adjacent, with cd=10 units and ah=5 units. point e is on segments ad and gb what is the area of triangle abe, in square units? express your answer in a common fraction.
To find the area of triangle(ABE), we can use the formula A = ½·base·height.
We can use AB for the base.
Since AH = 5 and ABGH is a square, AB = 5.
To find BE:
-- since AB = 5 and BC = 10, point B is 1/3rd the distance from A to C.
-- likewise, BE will be 1/3rd the distance from C to D
-- since CD = 10, BE = (1/3)·10 = 10/3
So, the area of triangle(ABE) = ½·(5)·(10/3) = 8 1/3.