Question

The sides of a triangle are in ratio 3:5:2 and it's perimeter is 40 cm . Find the length of the 3 sides

Answer 1

Answer:

see the attached ment

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Answer 2

$\huge\bf\underline{\red{Solution:-}}$

$\sf\underline{\blue{\:\:\:\:\: Given:-\:\:\:\:\:}}$

$\sf\bullet Sides\:of\: triangle\:in\:ratio= 3:5:2\\ \\ \sf\bullet Perimeter\:of\: triangle=40cm\\ \\ \\ \sf\:\:\:\:{\purple{we\:have\:to\: calculate\:the\:sides\:of\triangle}}$

$\boxed{\sf{Perimeter\:of\: triangle= sum\:of\:all\:sides}}$

$\sf\bullet Let\:the\:side\:of\:triangle\:be\: n\\ \\ \sf\implies 3n,\:5n\:and\:2n$

Now

$\bf\underline{\underline{\red{A.T.Q:-}}}$

$\sf\implies Perimeter=sum\:of\:all\:sides\\ \\ \sf\implies 40=3n+5n+2n\\ \\ \sf\implies 40=10n\\ \\ \sf\implies \cancel{\dfrac{40}{10}}=n\\ \\ \tt\hookrightarrow n=4\\ \\ \sf\:\:\:\:Now\:the\: sides\:of\: triangle\\ \\ \sf\bullet 3n= 3\times 4\\ \sf\implies 12cm\\ \\ \sf\bullet 5n=5\times 4\\ \sf\implies 20cm\\ \\ \sf\bullet 2n=2\times 4\\ \sf\implies 8cm$

$\boxed{\sf{\dag{\purple{\:\:Sides\:of\:triangle= 12cm\:,20cm\:and\:8cm}}}}$