the perimeter of a triangle is 2.99 and the length of the longer side is an integer. What is the length of the longer side?

Answer 1

To solve this problem, we must understand the "Triangle Inequality Theorem" or that "the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.

So looking at the problem, all the sides add up to 2.99.

The only integers less than 2.99, are "1" and "2"

With '1' as the longer side, the other 2 sides must sum to (2.99-1) or 1.99. "1.99" is greater than 1, hence its true for the Triangle Inequality theorem.

With '2' as the longer side, the other 2 sides must sum to (2.99-2) or .99. ".99" is less than 2, meaning that the Triangle Inequality theorem is false, meaning that this triangle does not exist.

The answer is "1"

Answer 2

Perimeter = 2.99

longer side = an integer

one side 1, other two sides 1.99/2 each

sides: 1, .995, .995

or 1, 1, and .99

either is an isosceles triangle

and almost an equilateral triangle