In figure 12.35, the ratio of AD to DC is 3 to 2. If the area of ΔABC is 40 cm2, what is the area of ΔBDC?

In ∆ABC
AD:DC = 3:2
Area of ∆ABD =
= ![]()
Area of ∆BDC =
= ![]()

Area of ∆ABC = area of ∆ABD+ area of ∆BDC = 40 cm2
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Therefore area of ∆ABD = ![]()
Therefore area of ∆BDC = ![]()
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