Sides of a triangle are in the ratio 12:17:25 and its perimeter is 540 cm find its area.
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Answer:
A= 9000 cm²
Step-by-step explanation:
⇒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))
A= √(270(270−120)(270−170)(270−250)) cm²
A= √(270×150×100×20)cm²
A=9000 cm²
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