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In the given figure, ∠ABC = ∠DCB = 90° AB = 6, DC = 8 then A(Δ ABC)A(Δ DCB)A(Δ ABC)A(Δ DCB) = ? - Geometry Mathematics 2

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Question

In the given figure, ∠ABC = ∠DCB = 90° AB = 6, DC = 8 then `("A(Δ ABC)")/("A(Δ DCB)")` = ?

Sum

Solution

Given:

∠ABC = ∠DCB = 90°

AB = 6

DC = 8

Now,

`("A(Δ ABC)")/("A(Δ DCB)") = (1/2 xx "AB" xx "BC")/(1/2 xx "DC" xx "BC")`

= `6/8`

= `3/4`

∴ `("A(Δ ABC)")/("A(Δ DCB)") = 3/4`

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Chapter 1: Similarity - Problem Set 1 [Page 27]

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