Question

The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?

The lengths of the sides of the triangle in cm are____?

Answer 1

The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm

Explanation:

The lengths of side of the triangle are in ratio 8:9:10

Perimeter of triangle = 108 cm

We need to find length of sides of triangles.

The formula used is:
`Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\`

The length of side of triangle can be expressed as:

First side= 8x

Second Side =9x

Third Side=10x

So, finding x and then calculate length of each side

`Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\\\108=8x+9x+10x\\108=27x\\x=(108)/(27)\\x=4`

So, value of x = 4

The length of sides of triangle will be found by putting value of x at each side.

First side= 8x = 8*4 = 32 cm

Second Side =9x= 9*4= 36 cm

Third Side=10x = 10*4=40 cm

So, The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm