Question

The perimeter of a triangular field is 540m and its sides are in the

ratio 5:12:13.find the area of thetriangle​

Answer 1

Step-by-step explanation

Perimeter of triangle = 150 m (given)

Let the sides of triangle be, a, b and c,

On dividing 150 m in the ratio 5 : 12 : 13, we get

a = 5x cm

b = 12x cm

c = 13x cm

We know that, Perimeter of a triangle = Sum of all the sides = a + b + c

150 = 5x + 12x + 13x

= 30 x

x = 5

Sides are:

a = 5x = 25 cm

b = 12x = 60 cm

c = 13x = 65 cm

Now,  

Let a, b and c be the sides of a triangle.

Apply Heron's Formula to find the area of triangle.

Area = √S(S−a)(S−b)(S−c)

Where S = $\frac{a+b+c}{2}$

S = 1/2(25+60+65) = 75 cm

Area = √(75(75-25)(75-60)(75-65))

= √(75 × 50 × 15 × 10)

= 750

Area of triangle is 750 cm2.

Answer 2

Answer:

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