#### Answer

3 in., 6 in., 7 in.,
or
6 in., 12 in., 14in.

#### Work Step by Step

The lengths of the sides are given as 3:6:7
Make "x" the common factor between all of them. Therefore, the first side is 3x, the second side is 6x, and the third side is 7x.
To find the possible sets of side lengths, put different values in for x.
If we use one for x we get:
3x=3 x 1 = 3 - This would be the value of the first side
6x=6 x 1 = 6 - This would be the value of the second side
7x=7 x 1 = 7 - This would be the value of the third side
To find another alternative set of side lengths, substitute a different number in for "x" besides 1.
3x = 3 x 2 = 6 - This would be the value of the first side
6x= 6 x 2 = 12 - This would be the value of the second side
7x = 7 x 2 = 14 - This would be the value of the third side
The number of possibilities is numerous as you choose different values for "x".