Question 93

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2: of triangle ABD?

Solution

In $$\triangle$$ ABC, since AD is the angle bisector and AB : AC = 3 : 4

=> $$\frac{ar(\triangle ABD)}{ar(\triangle ADC)}=\frac{3}{4}$$

Also, $$ar(\triangle ABC)=350$$ $$cm^2$$

$$\therefore$$ $$ar(\triangle ABD)=\frac{3}{(3+4)}\times350$$

= $$3\times50=150$$ $$cm^2$$

=> Ans - (A)

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