Question

A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?

Answer 1

36

Explanation:

For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.

By the triangle inequality theorem, 19+18>x, which means x<37.

So, the largest possible whole number length for the third side is 36.