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Maharashtra State BoardSSC (English Medium) 10th Standard

In ∆ABC, B – D – C and BD = 7, BC = 20, then find the following ratio. 𝐴⁡(△𝐴⁡𝐵⁢𝐷)𝐴⁡(△𝐴⁡𝐵⁢𝐶)

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Question

In ∆ABC, B – D – C and BD = 7, BC = 20, then find the following ratio.

`(A(triangleABD))/(A(triangleABC))`

Sum
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Solution

In ∆ABC, B – D – C and BD = 7, BC = 20

As ΔABD and ∆ABC have the same height.

∴ Areas of triangles with the same height are proportional to their corresponding bases.

`(A(triangle ABD))/(A(triangle ABC)) = (BD)/(BC)`

= `7/20`

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

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