The sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is 540cm. Find its area
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Answer✍️
⇒Let x be common ratio
∴ Sides of triangle will be: 12x,17x and 25x
⇒Perimeter =540 cm(given)
⇒12x+17x+25x=540 cm,
⇒54x=540 cm
⇒x=10 cm
∴ Sides of triangle: a=120,b=170,c=250 cms
⇒2S=540
⇒S=270 cm
A=
s(s−a)(s−b)(s−c)
= 270(270−120)(270−170)(270−250 )cm²
= 270×150×100×20cm ²
A=9000 cm²
Hope it helps u ☺️
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