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Byju's Answer

Standard X

Mathematics

Relation between Areas and Sides of Similar Triangles

Let triangle ...

Question

Let triangle ABC~DEF, area of triangle ABC = 169cm^2 and area of triangle DEF = 121cm^2 . If AB = 26cm , then find DE .

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Solution

As the triangles are similar
ar(ABC)/ar(DEF)=AB/DE
root(169/121)=26/DE ( we took root of area because area is side side )
13/11=26/DE
DE=2611/13
=22cm

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Let triangle ABC~DEF, area of triangle ABC = 169cm^2 and area of triangle DEF = 121cm^2 . If AB = 26cm , then find DE .

As the triangles are similar ar(ABC)/ar(DEF)=AB/DE root(169/121)=26/DE ( we took root of area because area is side *side ) 13/11=26/DE DE=26*11/13 =22cm

As the triangles are similar
ar(ABC)/ar(DEF)=AB/DE
root(169/121)=26/DE ( we took root of area because area is side side )
13/11=26/DE
DE=2611/13
=22cm