+7 In the diagram, triangle BDF and triangle ECF have the same area.. If DB = 2, BA = 3, and AE = 4, find the length of line EC. Diagram is below.
+1641 In the diagram, triangle BDF and triangle ECF have the same area. If DB = 2, BA = 3, and AE = 4, find the length of line EC.
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BDCE is a trapezoid. DC || BE
Triangles ABE and ADC are similar.
AB / AE = AD / AC
3 / 4 = 5 / AC AC = 20 / 3
EC = 20 / 3 - 4 EC = 2 2/3 or 8 / 3 or 2.666666667
