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Maharashtra State BoardSSC (English Medium) 10th Standard

In the given figure, ∠ABC = ∠DCB = 90° AB = 6, DC = 8 then A(ΔABC)A(ΔDCB) = ?

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Question

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

Sum
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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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