Answer:
In ascending order, the side lengths are {16, 30, 38}.
Step-by-step explanation:
Represent the shortest side by s.
Building on this, we represent the next side as 2s + 6.
The third and last side is then s + 14.
The perimeter is the sum of the lengths of these 3 sides and has the value 84. Thus, s + 2s + 6 + s + 14 = 84.
Combining the s terms, we get:
4s +6 + 14 = 84, or
4s + 20 = 84, or
4s = 64. Therefore, s = 64/4 = 16
The length of the shortest side is 16; that of the next side is 2(16) + 6, or 38, and that of the third side is 16 + 14, or 30.
Check: Do 16, 38 and 30 sum up to 84, as they must?
Do 16 and 68 sum up to 84?
Is 84 = 84? YES. Answers are correct.
