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

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प्रश्न

From adjoining figure, ∠ABC = 90°, ∠DCB = 90°, AB = 6, DC = 8, 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)) = 6/8`

∴ `(A(ΔABC))/(A(ΔBCD)) = 3/4`

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अध्याय 1: Similarity - Exercise

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  3. `("A"(∆"ABC"))/("A"(∆"ADC"))`
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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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