Answer:
Length of side 1 = 24 m
Length of side 2 = 120 m
Length of side 3 = 84 m
Step-by-step explanation:
The ratio of each side of triangle is: 2:10:7
Perimeter of triangle = 228 meters
We need to find the length of each side.
Let the common ratio be x
We can write the ratios as: 2x,10x and 7x
Length of side 1 = 2x
Length of side 2 = 10x
Length of side 3 = 7x
Using the formula: [tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\[/tex]
Putting values and finding x:
[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\\\228=2x+10x+7x\\19x=228\\x=\frac{228}{19}\\x=12[/tex]
So, we get value of x=12
Now, finding length of each side by putting x=12:
Length of side 1 = 2x =2(12) = 24
Length of side 2 = 10x = 10(12) = 120
Length of side 3 = 7x = 7(12) = 84
So,
Length of side 1 = 24 m
Length of side 2 = 120 m
Length of side 3 = 84 m
