Question

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

______________

Answer it fast

Answer 1

Answer:

Area of the triangle = 9000 cm²

Step-by-step explanation:

given that,

ratio of the sides of the triangle =

12 : 17 : 25

let the common ratio of their sides be x

so,

sides of the triangle will be

12x, 17x, 25x

and also

given the perimeter of the triangle =

540 cm

and we know that

perimeter of a triangle =

sum of all sides

so,

According to the question,

12x + 17x + 25x = 540

54x = 540

x = 540/54

x = 10

now,

sides of the triangle

12x

= 12(10)

= 120 cm

___________

17x

= 17(10)

= 170 cm

___________

25x

= 25(10)

= 250 cm

_________________

so,

Sides of the triangle

= 120 cm, 170 cm, 250 cm

now,

area of triangle by Heron's formulae

= √{s(s - a)(s - b)(s - c)]

here,

s = sum of sides/2

a, b, c are the sides of the triangle

so,

s = (120 + 170 + 250)/2

= 540/2

= 270

so,

area of the triangle =

= 9000 cm²

explanation refer to the attachment

Answer 2

Answer:

area of the triangle = 9000 cm²

explaination:

given,,

ratio of the sides = 12 : 17 : 25

so,

sides of the triangle 12x, 17x and 25x

given

perimeter of the triangle = 540 cm

so,

12x + 17x + 25x = 540

54x = 540

x = 540/54

x = 10

now,

sides of the triangle

12x

= 12(10)

= 120 cm

___________

17x

= 17(10)

= 170 cm

___________

25x

= 25(10)

= 250 cm

_________________

so,

Sides of the triangle

= 120 cm, 170 cm, 250 cm

now,

area of triangle by Heron's formulae

= √{s(s - a)(s - b)(s - c)]

here,

s = sum of sides/2

a, b, c are the sides of the triangle

so,

s = (120 + 170 + 250)/2

= 540/2

= 270

so,

area of the triangle =

√(270(270 - 120)(270 - 170)(270 - 250)

= √(81000000)

= 9000

so,

Area of triangle = 9000 cm²

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