Question

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

Answer 1

hye

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

perimetr if rectangle=168
perimeter  of triangle formula = 1side+2side+3side

⇒168=15x+13x+14x

⇒168=42x

⇒x =4

now substitue 13x,15x and 14x
so the sides are 52,60 and 56

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=84, a=60, b=52, c=56
Area = 1334cm²


maths arbhatta
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hope it helps

Answer 2

• 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