Question

sides of a triangle are in ratio 3 is to 4 is to 5 and its area is 24 cm square find the sides of a triangle

Answer 1

Hi

Here is ur answer !!!!

The perimeter of given triangle = 96 cm

The sides of triangle are in ratio 5:4:3 ,

Let x be the common multiple of the sides ,

5x, 4x,3x

The perimeter of triangle = sum of all sides of triangle

96=5x+4x+3x

96=12x

96÷12=x

x=8

The side of triangle are ,

5x=5×8=40

4x=4×8=32

3x=3×8=24

Let ,

a =40

b=32

c=24

The area of triangle by herons formula ,

s =  a+b+c÷2

  = 40+32+24÷2

  = 96÷2

  S =48

A = √s(s-a)(s-b)(s-c)

   = √48(48-40)(48 - 32)(48 - 24)

   = √48 * 8 * 16 * 24

   = √147456

Area =384  cm²

Hope it helps you