The perimeter of a scalene triangle is 16 inches. The length of the longest side is 4 inches less than 2 times the shortest side. The length of the other side is 2 inches more than the shortest side. Find the lengths of the sides of the triangle.
+21 Let x be the length of the shortest triangle. Hence, we know that the length of the longest side is 2x - 4. We also know that the length of the other side is x + 2. Hence:
2x - 4 + x + 2 + x = 16,
4x - 2 = 16,
4x = 18,
x = 9/2
x = 4.5
Hence, the shortest length is 4.5. From this, you should be able to figure out the lengths of the other side on your own.
