The perimeter of a triangle is 60 inches. If the sides of the triangle are 2x, 3x, and 5x, find the length of the shortest side. 1 ft 2 in. 4 in. 6 in.

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