The perimeter of a triangle is 84 meters. The longest side of the triangle is 7 meters less than twice the length of the shortest side, x. The middle side is 7 meters longer than the shortest side. What is the length of each side of the triangle?
Answer:
The length of the sides are 42m, 31.5m and 24.5m
Step-by-step explanation:
The perimeter of a plain shape can be computed by adding all the sides of the plain shape.
For a triangle, the perimeter is the sum of the 3 sides.
Let the length of the shortest side be x
The longest side = 2x - 7 meters
The middle side = x +7 meters
Therefore,
2x - 7 +x - 7 + x = 84
4x = 84 + 14
4x = 98
x = 24.5 meters
The longest side = 2(24.5) - 7 = 42 meters
The middle side = 24.5 + 7 = 31.5 meters
The length of the sides are 42m, 31.5m and 24.5m