Shortest side: x = 17 centimeters
Third side: 2x = 34 centimeters
Longest side: 2x + 3 = 2(17) + 3 = 37 centimeters
Calculating The Sides Of A Triangle.
The longest side is 3 centimeters longer than twice the length of the shortest side, so its length is 2x + 3
The third side is twice as long as the shortest side, so its length is 2x.
The perimeter of the triangle is the sum of all three sides, which is x + (2x) + (2x + 3) = 88x
solve for x:
x + 2x + (2x + 3) = 88
Combine like terms:
5x + 3 = 88
Subtract 3 from both sides:
5x = 85
Divide by 5:
x = 17
Substitute x = 17 into the equation to find the length of each side:
Shortest side: x = 17 centimeters
Third side: 2x = 34 centimeters
Longest side: 2x + 3 = 2(17) + 3 = 37 centimeters