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by shrey2287 » Thu Jul 26, 2012 4:06 am
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
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by Anurag@Gurome » Thu Jul 26, 2012 4:49 am
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
This is not a GMAT type question.
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by karthik1239 » Thu Jul 26, 2012 5:43 am
196.use the area of triangle formula.
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by GMATGuruNY » Thu Jul 26, 2012 6:43 am
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.

Image

Thus:
140/∆ACD = 10/14
∆ACD = 196.

I agree with Anurag: this question seems beyond the scope of the GMAT.
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