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Maharashtra State BoardSSC (English Medium) 10th Standard

From adjoining figure, ∠ABC = 90°, ∠DCB = 90°, AB = 6, DC = 8, then (A(ΔABC))/(A(ΔBCD)) = ?

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Question

From adjoining figure, ∠ABC = 90°, ∠DCB = 90°, AB = 6, DC = 8, then `(A(ΔABC))/(A(ΔBCD))` = ?

Sum
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Solution

ΔABC and ΔBCD have same base BC.

∴ `(A(ΔABC))/(A(ΔBCD)) = (AB)/(DC)`  ...[Triangles having equal base]

∴ `(A(ΔABC))/(A(ΔBCD)) = 6/8`

∴ `(A(ΔABC))/(A(ΔBCD)) =  3/4`

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Chapter 1: Similarity - Q.2 (B)

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