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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

If ΔABC ∼ ΔPQR and A(ΔABC)A(ΔPQR)=1625, then find AB : PQ. - Geometry Mathematics 2

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प्रश्न

If ΔABC ∼ ΔPQR and `(A(ΔABC))/(A(ΔPQR)) = 16/25`, then find AB : PQ.

बेरीज

उत्तर

`(A(ΔABC))/(A(ΔPQR)) = (AB^2)/(PQ^2)`

`16/25 = (AB^2)/(PQ^2)`

`(AB)/(PQ) = sqrt(16/25)`

`(AB)/(PQ) = 4/5`

∴ AB : PQ = 4 : 5

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