Question

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

Answer 1

Hey

Here is your answer,

Let the sides of the triangle be 12x , 17x and 25x.

Given that,
Perimeter of the triangle = 540cm
12x + 17x + 25x = 540
54x = 540
X = 540/54
X = 10

12x = 12 x 10 = 120
17x = 17 x 10 = 170
25x = 25 x 10 = 250

Hope it helps you!

Answer 2

Let the sides be 12a, 17a and 25a

Perimeter = 12a + 17a + 25a

=> 540 = 54a

=> a = 10

First side = 120 cm

Second side = 170 cm

Third side = 250 cm

s = 270 cm

Area = sqrt ( s (s-a) (s-b) (s-c)

= sqrt ( 270 × 20 × 100 × 150)

= 100 × sqrt ( 27 × 2 × 10 × 15)

= 100 × 3 × 3 × sqrt (2 ×10 ×5)

= 9000 cm^2