CAT Exam 2021 Slot 2 Solved Paper

Question : 64 of 66

Marks: +1, -0

Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is

Your Answer:

Validate

Solution:

We have :

Now area of

\ADE = 1/2 × \AD × \AE × \sin \A

We get

\xy \sin \A = 4

Now area of triangle

\ABC = 1/2\AB × \AC × \sin \A

We get

1/2 × 3\x × 5\y \sin \A = 15/2\xy \sin \A = 15/2 × 4

We get Area of

\ABC = 30

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