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perimeter-side1-side2=third side
17n+11-(5n+6) -(4n+5)= third side
17n+11-(5n+6) -(4n+5)= third side
The sum of the other two side lengths is (5n + 6) + (4n + 5). Simplifying this expression, we have 5n + 6 + 4n + 5.
Adding the terms with 'n' together, we get 5n + 4n = 9n. And adding the constant terms together, we have 6 + 5 = 11.
So the sum of the other two side lengths is 9n + 11.
To find the expression that represents the measure of the third side, we subtract this sum from the given perimeter of the triangle: 17n + 11 - (9n + 11).
Simplifying this expression, we get 17n + 11 - 9n - 11.
Combining like terms, 17n - 9n is equal to 8n, and 11 - 11 equals 0.
Therefore, the expression that represents the measure of the third side of the triangle is 8n.