Answer:
The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
Step-by-step 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: [tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\[/tex]
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
[tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\\\108=8x+9x+10x\\108=27x\\x=\frac{108}{27}\\x=4[/tex]
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
