Math, asked by Mann1403, 7 months ago

The sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is 540cm. Find its area.​

Answers

Answered by STarAK
10

Answer:

let ratio as x

12x +25x + 17x = 540

54x = 540

x = 10...........

Answered by ItzMayu
15

Answer:

\large{\underline{\underline{\bf{Given:-}}}}

  • Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.

\begin{gathered}\end{gathered}

\large{\underline{\underline{\bf{To \: Find:-}}}}

  • Area of Triangle

\begin{gathered}\end{gathered}

\large{\underline{\underline{\bf{Soluntion :-}}}}

\underline{\pmb{\sf{\red{Let\: the\: side\: be,,}}}}

  • 12x
  • 17x
  • 25x

\begin{gathered}\end{gathered}

\underline{\pmb{\sf{\red{According\: to\: the\: question,}}}}

:\implies 12x +17x + 25x = 540

:\implies 54x =540

:\implies x = 10

Therefore the value x is 10

\begin{gathered}\end{gathered}

\underline{\pmb{\sf{\red{Hence,}}}}

  • 12x =12 *10 =120
  • 17x =17 *10=170
  • 25x= 25 * 10=250

The sides of the triangle are 120,170,250

\begin{gathered}\end{gathered}

\underline{\pmb{\sf{\red{Now, To \: find\: area\: of\: triangle,}}}}

S = a+b+c/2

:\implies 120 +170 +250 /2

:\implies 270

By using herons formula

:\implies √s( s-a) (s-b) (s-c)

:\implies √270(270-120) (2 70-170) (270-250)

:\implies √270*150*100*20

:\implies √81000000

:\implies 9000cm

Therefore the area of the triangle is 9000 cm².

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