Answer:
Length of smallest side = 1 ft
Step-by-step explanation:
Given:
Perimeter = 60 inches
Length of sides are 2x , 3x , 5x
To Find:
Length of smallest sides = ?
Solution:
As we know that in geometry the perimeter of a shape is the Sum of length of all of its sides
So for our given triangle
Perimeter of triangle = Sum of its all sides
Putting the values
60 inches = 2x + 3x + 5x
60 inches = 10 x
Dividing both sides by 10
10 x / 10 = 60 /10
x = 6 inches
So length of first side = 2 x =2 * 6 =12 inches
Length of second side = 3x = 3 * 6 = 18 inches
Length of second side = 5x = 5 * 6 = 30 inches
So from the following result we see that
Length of smallest side = 12 inches = 1 ft