Question

sides of a triangle are in ratio of 12:17:25 and it's perimeter is 540 find its area? ​

Answer 1

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=   root s(s−a)(s−b)(s−c)

=  root 270(270−120)(270−170)(270−250)   cm^2

=  root 270×150×100×20  cm ^2

 A=9000 cm ^2

 

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