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Triangles ABC and DEF are similar If AB = 1.2 cm and DE = 1.4 cm, find the ratio of the areas of ΔABC and ΔDEF.

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Question

Triangles ABC and DEF are similar If AB = 1.2 cm and DE = 1.4 cm, find the ratio of the areas of ΔABC and ΔDEF.

Sum
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Solution

We have,

ΔABC ~ ΔDEF

AB = 1.2 cm and DF = 1.4 cm

By area of similar triangle theorem

`("Area"(triangleABC))/(Area(triangleDEF))="AB"^2/"DE"^2`

`=1.2^2/1.4^2`

`=1.44/1.96`

`=36/49`

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Chapter 7: Triangles - EXERCISE 7.5 [Page 7.77]

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R.D. Sharma Mathematics [English] Class 10
Chapter 7 Triangles
EXERCISE 7.5 | Q 1. (ii) | Page 7.77
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