Question

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.

3 1/3
4
6
7 1/5

Answer 1

The answer is 4

Answer 2

Hi there! One of the sides already has a length of 8 inches. The total perimeter of the triangle is 18 inches. 18 - 8 is 10. There are 10 inches left. If the ratio is 2 : 3, then to find the other length, we see that we can divide them into fifths. 2 * 2 = 4 and 2 * 3 is 6. 4:6 has a ratio of 2:3. The length of the shortest side is 4 inches. The answer is B: 4.