2 side lengths of a triangle are 11 and 17. What is the longest possible integer length of the third side of the triangle?

Guest Jan 25, 2022

#1**+2 **

Triangle inequalities declares that the sum of two sides of a triangle must be greater than the third side of the triangle.

Then applying the triangle inequality to the problem, to find the third side 'x', we can write:

\(11 + 17 > x\)

Then the largest value of x that is under 28 is 27.

**The longest possible integer length for the third side of the triangle is 27 units.**

proyaop Jan 25, 2022