Question

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

Answer 1

Answer:

Area = 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)=

270(270−120)(270−170)(270−250)cm²

= 270×150×100×20 cm²

A=9000 cm²