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If ∆ABC ~ ∆DEF such that area of ∆ABC is 16cm^2 and the area of ∆DEF is 25cm^2 and BC = 2.3 cm. Find the length of EF. - Mathematics

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If ∆ABC ~ ∆DEF such that area of ∆ABC is 16cm2 and the area of ∆DEF is 25cm2 and BC = 2.3 cm. Find the length of EF.

Triangles ABC and DEF are similar If area (∆ABC) = 16cm2, area (∆DEF) = 25 cm2 and BC = 2.3 cm, find EF.

Sum

Solution

We have,

`(Area(DeltaABC))/(Area(DeltaDEF))=(BC)^2/(EF)^2`

`\Rightarrow \frac{16}{25}=((2.3)^2)/(EF^2)`

`\Rightarrow EF=\sqrt{8.265}=2.875cm`

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Chapter 7: Triangles - Exercise 7.6 [Page 94]

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RD Sharma Mathematics [English] Class 10
Chapter 7 Triangles
Exercise 7.6 | Q 1.1 | Page 94

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