A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Question

asked Dec 22, 2023 97.3k views

2 Answers

Ritesh Karwa · Answer 1 · 2023-12-22T16:40:29+0000

Answer:

33

Explanation:

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.