Sides of a triangle are in the ratio of 12:17: 25 and its perimeter is 540 find its area
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Step-by-step explanation:
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)
cm
2
=
270×150×100×20
cm
2
A=9000 cm
2
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