Question

sides of triangle are in ratio 13 14 15 and its perimeter is 84 cm find its area

Answer 1

let to constant be x.

1st side=13x

2nd side=14x

3rd side=15x

Now,

13x +14x+15x=84

42x=84

x =2

1st side=26cm

2nd side=28cm

3rd side=30cm

So,area=√42×16×14×12
=7×6×2×4
=336sq. cm

Answer 2

Answer:

Step-by-step explanation:

Given :-

Ration of sides = 13 : 14 : 15

Perimeter of Triangle = 84 m

To Find :-

The Area of Triangle

Formula to be used :-

Area of Triangle = √[s(s - a)(s - b)(s - c)]

Solution :-

Let the sides be 13x ,14x and 15x

⇒ 13x + 14x + 15x = 84

⇒ 42x = 84

⇒ x = 84/42

⇒ x = 2

Hence, sides will be 26 m, 28 m and 30 m

Semi perimeter, s = 84/2 = 42

Area of Triangle = √[s(s - a)(s - b)(s - c)]

Area of Triangle =√(42×16×14×12)

Area of Triangle =√112896

Area of Triangle = 336 m²