Aryan ap kaha busy hooo – InterviewSolution

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Aryan ap kaha busy hooo

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Explanation:

$\Large{\underline{\underline{\bf{Given:-}}}}$

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

$\begin{gathered}\end{gathered}$

$\Large{\underline{\underline{\bf{Soluntion :-}}}}$

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

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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