In ΔACE, B and D are the points on side AC and CE, respectively, such that BD || AE and AE/BD = 8/3. What is the ratio of the area of ΔBDC to that of ΔAEC?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 9 : 64
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Concept |
Understanding |
Application |
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Area of triangle A/Area of triangle B = (side of A)2/(side of B)2 |
AE = 8BD/3
ΔACE & ΔBDC are similar triangle (Since BD||AE) |
Ratio = BD2/AE2 = (1/(8/3)2) = 9/64
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Area ofΔBDC/Area of ΔACE = (side BD)2/(side AE)2 |
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