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In fig., AB ⊥ BC and DC ⊥ BC, AB = 6, DC = 4 then A(ΔABC)A(ΔBCD) = ? - Geometry Mathematics 2

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प्रश्न

In fig., AB ⊥ BC and DC ⊥ BC, AB = 6, DC = 4 then `("A"(Δ"ABC"))/("A"(Δ"BCD"))` = ?

योग

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"(Δ"ABC"))/("A"(Δ"BCD")) = 3/2`

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अध्याय 1: Similarity - Q.2 (B)

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