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In ∆ABC, B – D – C and BD = 7, BC = 20, then find the following ratio. A(∆ABD)A(∆ABC) - Geometry Mathematics 2

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Question

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

`(A(∆ABD))/(A(∆ABC))`

Sum

Solution

Draw a perpendicular from vertex A to line BC. 

`(A(∆ABD))/(A(∆ABC)) = ((1/2) xx AX xx BD)/((1/2) xx AX xx BC)`

= `(BD)/(BC)`

= `7/20`

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

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