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In fig., AB ⊥ BC and DC ⊥ BC, AB = 6, DC = 4 then (A(ΔABC))/(A(ΔBCD)) = ?

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प्रश्न

In fig., AB ⊥ BC and DC ⊥ BC, AB = 6, DC = 4 then `(A(ΔABC))/(A(ΔBCD))` = ?

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उत्तर

ΔABC and ΔBCD have same base BC.

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

∴ `(A(ΔABC))/(A(ΔBCD)) = 6/4`   ...[Given]

∴ `(A(ΔABC))/(A(ΔBCD)) = 3/2`

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अध्याय 1: Similarity - Q.2 (B)

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