Question

Solve- the second side of a triangular deck is 4 feet longer than the shortest​ side, and the third side is 4 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 52 ​feet, what are the lengths of the three​ sides??

Answer 1

Let the length of the shortest side be x, then the length of the second side is x + 4 and the length of the third side is 2x - 4.

Then, x + x + 4 + 2x - 4 = 52

4x = 52

x = 52/4 = 13

Therefore, the lengths of the sides of the triangle are: x = 13, x + 4 = 13 + 4 = 17 and 2x - 4 = 2(13) - 4 = 26 - 4 = 22.

i.e. 13, 17, 22