CAT 2021 Geometry & Mensuration Question (Medium)

Question

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

Accepted Answer

! Triangle https optima-learn.b-cdn.net quantPyqImages img_1751026019086_1.jpg The area of the triangle ADE 8 sqcm. AD AE sin A 8 2x 2y sin A 8 xy sin A 4 The area of the triangle ABC AB AC sin A 3x 5y sin A xy sin A 4 since xy sin A 4 30 sq cm

CAT 2021

Quantitative

Geometry & Mensuration

Medium

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

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