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

 Jan 25, 2022
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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.

 

smiley

 Jan 25, 2022

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