Question

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

Answer 1

Let the common ratio between the sides of the given triangle be x. Therefore, the side of the triangle will be 12x, 17x, and 25x. Sides of the triangle will be 120 cm, 170 cm, and 250 cm. Therefore, the area of this triangle is 9000 cm2.

Answer 2

hey it's your ans-

let,

the side of triangle is a, b and c

the perimeter of triangle is 540 cm

the ratio of the side of a triangle are 12:17:25

i.e

a = 12x

b = 17x

c = 25x

Perimeter of triangle = a + b + c

540 = 12x + 17x + 25x

540 = 54x

x = 540/54

x = 10

Now,

the side of triangle is

12x = 12 × 10 = 120 cm

17x = 17 × 10 = 170 cm

25x = 25 × 10 = 250 cm

Verify.. 120 + 170 + 250 = 540

Area of triangle = 9000cm^2

( by using heron's formula )

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