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From adjoining figure, ∠ABC = 90°, ∠DCB = 90°, AB = 6, DC = 8, then AABCABCDA(ΔABC)A(ΔBCD) = ? - Geometry Mathematics 2

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Question

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

Sum

Solution

ΔABC and ΔBCD have same base BC.

∴ `("A"(Δ"ABC"))/("A"(Δ"BCD")) = "AB"/"DC"`  ...[Triangles having equal base]

∴ `("A"(Δ"ABC"))/("A"(Δ"BCD")) = 6/8`

∴ `("A"(Δ"ABC"))/("A"(Δ"BCD")) =  3/4`

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Chapter 1: Similarity - Q.2 (B)

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