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