The numbers of sets which cannot represent the lengths of the sides of a triangle are 8, 9, 11.
We have to determine
Which set of numbers cannot represent the lengths of the sides of a triangle?
According to the question
The length of sides which can not form a triangle is determined in the following steps given below.
What is the triangle?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
1. The length of the triangle is 7, 9, 13.
The sum of two lengths is 7 + 9 = 16
The sum of the two lengths 16 is greater than the third side length 13 triangle then the sides form a triangle.
2. The length of the triangle is 8, 19, 11.
The sum of two lengths is 8 + 11 = 19
The sum of the two lengths is 19 greater than the third side 19 triangles then the sides do not form a triangle.
3. The length of the triangle is 8, 6, 7.
The sum of two lengths is 8 + 6 = 14
The sum of the two lengths is 14 greater than the third side 7 triangles then the sides form a triangle.
4. The length of the triangle is 9, 11, 16.
The sum of two lengths is 9 + 11 = 20
The sum of the two lengths is 20 greater than the third side 16 triangles then the sides form a triangle.
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