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Angle Bisector Theorem

The angle bis...

Question

The angle bisector of $∠ A$ divides the side BC of $△ A B C$ in the ratio 2:3 and the area of $△ A B D$ is 20 $c m^{2}$ . Find the area of $△$ ADC.

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Solution

AD bisects BC in the ratio 2:3.

Therefore, area of $△ A B D$ : area of $△ A D C$ = 2 : 3

Given, area of $△ A B D$ = 20 $c m^{2}$

Therefore area of $△ A D C$ = 30 $c m^{2}$ .

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