Question

the sides of a triangle ratio 15, 13 ,14 and its perimeter is 168 cm find the area of the triangle

Answer 1

  Let the sides be 13x, 14x, and 15x. Since the perimeter is 84, we have 13x+14x+15x=84, so that x=2, and the sides are therefore 26, 28, 30. 

We now apply Heron's Formula for the area of a triangle in terms of its sides: 

Let s be half the perimeter, and let a,b,c be the sides. Then the area is given by 

sqrt{s(s-a)(S-b)(s-c)}. 

Here, we have 

s=42, a=26, b=28, c=30, 

Area = 336.

Answer 2

Answer:

1,344cm^2

Step-by-step explanation:

Perimeter =Sum of the length of all the sides of the triangle

168cm=15x+13x+14x

168cm=32x

X=168/42

X=4cm

Sides of the triangle =15*4=60cm

13*4=52cm

14*4=56cm

Now area of the triangle by herons formula is

Root 84(84-60)(84-52)(84-56)

=root 84*24*32*28

=root 18,06,336

=1,344cm^2