Two of the sides of a triangle are 18 and 25. The length of the third side is also a positive integer. How many different possible values are there for the third side length? (Assume that the triangle is non-degenerate.)
Triangle Inequality Theorem : This theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side. )
18+25=43 so 42 is a possible
How small can it go?
18+7 = 25 needs to be GREATER than 25 so 8 is as small as it can go any length from 8 to 42