As shown in the figure, in △ ABC, ∠ C = 90 °, D is the point on AC, de ⊥ AB is at point E. if AB = 10, BC = 6, de = 2, calculate the area of quadrilateral DEBC

As shown in the figure, in △ ABC, ∠ C = 90 °, D is the point on AC, de ⊥ AB is at point E. if AB = 10, BC = 6, de = 2, calculate the area of quadrilateral DEBC

It is known that AC = AB2 − BC2 = 8, ∵ ABC ∽ ade, ∵ aeac = DEBC, ∵ ae8 = 26, ∵ AE = 83, ∵ s quadrilateral DEBC = 12 × 6 × 8-12 × 2 × 83 = 643