Question

The perimeter of a triangle is 49 cm. The one side is 7 cm longer than the other and 5 cm shorter than the third. Find the length of each side of the triangle

Answer 1

${\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}$

$\Large{\blue{\tt{\underline{\underline{Given \ :-}}}}}$

${\sf{☞ \ Perimeter \ of \ triangle \ = \ 49cm }}$

$\Large{\purple{\tt{\underline{\underline{To \ find \ :-}}}}}$

${\bold{• \ Length \ of \ each \ side \ of \ triangle}}$

$\Large{\orange{\tt{\underline{\underline{Solution \ :-}}}}}$

${\tt{Let \ first \ side \ be \ x \ cm}}$

${\mathbb{ACCORDING \ TO \ QUESTION}}$

${\sf{\leadsto \ Second \ side \ = \ 7+x \ cm}}$

${\sf{\leadsto \ Third \ side \ = \ 5+7+x \ cm \ ⟹ \ 12+x \ cm}}$

${\tt{\pink{\boxed{✿Perimeter \ of \ triangle \ = \ Sum \ of \ all \ sides}}}}$

${\sf{\hookrightarrow \ 49 \ = \ x+7+x+12+x}}$

${\sf{\hookrightarrow \ 49 \ = \ 19+3x}}$

${\sf{\hookrightarrow \ 49-19 \ = \ 3x}}$

${\sf{\hookrightarrow \ 30 \ = \ 3x}}$

${\sf{\hookrightarrow \ \frac{\cancel{30}}{\cancel{3}} \ = \ x}}$

${\sf{\hookrightarrow \ x \ = \ 10cm}}$

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${\tt{First \ side \ = \ x \ ⟹ \ 10cm}}$

${\tt{Second \ side \ = \ 7+x \ ⟹ \ 17cm}}$

${\tt{Third \ side \ = \ 12+x \ ⟹ \ 22cm}}$