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In fig., AB ⊥ BC and DC ⊥ BC, AB = 6, DC = 4 then (A(ΔABC))/(A(ΔBCD)) = ?

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प्रश्न

In fig., AB ⊥ BC and DC ⊥ BC, AB = 6, DC = 4 then `(A(ΔABC))/(A(ΔBCD))` = ?

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उत्तर

ΔABC and ΔBCD have same base BC.

∴ `(A(ΔABC))/(A(ΔBCD)) = (AB)/(DC)`   ...[Triangles having equal base]

∴ `(A(ΔABC))/(A(ΔBCD)) = 6/4`   ...[Given]

∴ `(A(ΔABC))/(A(ΔBCD)) = 3/2`

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अध्याय 1: Similarity - Exercise

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From adjoining figure, ∠ABC = 90°, ∠DCB = 90°, AB = 6, DC = 8, then `(A(ΔABC))/(A(ΔBCD))` = ?


In ΔABC, B-D-C and BD = 7, BC = 20, then find the following ratio.

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(ii) `(A(ΔABD))/(A(ΔABC))`

(iii) `(A(ΔADC))/(A(ΔABC))`


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Given: PQ ⊥ BC, AD ⊥ BC

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

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Therefore, 

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

= `square/square`


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