Question

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

Answer 1

Step-by-step explanation:

Perimeter of the triangle = 540 cm

⇒ Semi–perimeter of the triangle,

∴ The sides are in the ratio of 12 : 17 : 25.

∴ a = 12x cm, b = 17x cm, c = 25x cm

∴ 12x + 17x + 25x = 540

⇒ 54x = 540

∴ a = 12 × 10 = 120 cm

b = 17 × 10 = 170 cm

c = 25 × 10 = 250 cm

⇒ (s - a) = (270 - 120) cm = 150 cm

(s - b) = (270 - 170) cm = 100 cm

(s - c) = (270 - 250) cm = 20 cm

∴ Area of the triangle

Answer 2

Step-by-step explanation:

Its Perimeter=540

Let Sides Of Triangle Be 12x,17x,25x

Perimeter=Sides Of Triangle

540=12x+17x+25x

540=54x

x=10

so New Sides Of Triangle Be 120cm,170cm,250cm

s=perimeter of the triangle /2

540/2

=270

now u can find area by Herons Formula