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Maharashtra State BoardSSC (English Medium) 10th Standard

In the Given, Seg Be ⊥ Seg Ab and Seg Ba ⊥ Seg Ad. If Be = 6 and Ad = 9 Find a ( δ a B E ) a ( δ B a D ) .

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Question

In the given, seg BE ⊥ seg AB and seg BA ⊥ seg AD.

if BE = 6 and AD = 9 find `(A(Δ ABE))/(A(Δ BAD))`.

Sum
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Solution

`(A(Δ ABE))/(A(Δ BAD)) =(BE)/(AD)`   

....[Ratio of areas of two triangles having qual    base is  equal to the ration of their corresponding heights.]

∴ `(A(Δ ABE))/(A(Δ BAD)) =6/9`   

∴ `(A(Δ ABE))/(A(Δ BAD)) =2/3` 

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2013-2014 (October)

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In the figure, PQ ⊥ BC, AD ⊥ BC. To find the ratio of A(ΔPQB) and A(ΔPBC), complete the following activity.


Given: PQ ⊥ BC, AD ⊥ BC

Now, A(ΔPQB)  = `1/2 xx square xx square`

A(ΔPBC)  = `1/2 xx square xx square`

Therefore, 

`(A(ΔPQB))/(A(ΔPBC)) = (1/2 xx square xx square)/(1/2 xx square xx square)`

= `square/square`


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