Question

Sides of a Triangle are in the ratio of 14 : 20: 25 and its perimeter is 590cm. Find its area​

Answer 1

Answer:

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=

Answer 2

Answer:

140cm, 200cm, 250cm

Step-by-step explanation:

Let us take the sides to be of measure

14x, 20x and 25x respectively.

Now,

14x+20x+25x = 590cm

or 59x = 590cm

or x = 590cm÷59 = 10cm

Thus,

14x = 14×10 = 140cm

20x = 20×10 = 200cm

25x = 25×10 = 250cm

Hope it helps! :D