shrey2287 wrote:In triangle ABC, AD is the bisector of |A, AB=10 cm, AC=14 cm and area of triangle ABD = 140 sq cm. Find area of triangle ACD
Angle bisector theorem:
In ∆ABC, if AD bisects ∠A to form ∆ABD and ∆ACD, then ∆ABD : ∆ACD = AB:AC.
Thus:
140/∆ACD = 10/14
∆ACD = 196.
I agree with Anurag: this question seems beyond the scope of the GMAT.
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