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

ΔAbc ∼ δDef and A(δAbc) : a δ(Def) = 1 : 2 If Ab = 4 Find De. - Geometry Mathematics 2

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प्रश्न

ΔABC ∼ ΔDEF and A(ΔABC) : A Δ(DEF) = 1 : 2 If AB = 4 find DE.

उत्तर

(1) Δ ABC ∼ Δ DEF
`(A(DeltaABC))/(A(DeltaDEF)) = (AB)^2/(DE)^2`

`1/2 = 4^2/(DE^2)`

`1/2 = 16/(DE^2)`

∴ `DE^2 = 16 × 2 ∴ DE = 4sqrt2`

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2018-2019 (March) Balbharati Model Question Paper Set 3

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