Question

Geometry: The longest side of a triangle is 3 times the length of the shortest side.The third side of the triangle is 5 inches longer than the shortest side.The perimeter is 50 inches.What are the lengths of the three sides of the triangle???

Answer 1

Let x be the smallest side.
Longest side is 3x.
Third side is x + 5.
Add together to get perimeter.
x + 3x + x + 5 = 50
Simplify
5x + 5 = 50
Subtract 5 from both sides.
5x = 45
Divide both sides by 5.
x = 9
3x = 27
x + 5 = 14
9, 14, 27