The bases of a trapezoid are 24 and 33 inches long and it encloses an area of 571. Without determining the height of the trapezoid find the areas of the triangular regions into which the diagonals divide the quadrilateral?

Answer 1

Since the component triangles have the same height, the areas are in proportion to the lengths of the bases.

Thus areas are
= 571*(33/(33+24)) and 571*(24/(33+24))