To apply the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Let's check each option:
1) The sum of 4 and 6 is 10, which is greater than 1. This option could be the third side of a triangle.
2) The sum of 4 and 6 is 10, which is greater than 2. This option could be the third side of a triangle.
3) The sum of 4 and 6 is 10, which is NOT greater than 9. This option cannot be the third side of a triangle.
4) The sum of 4 and 6 is 10, which is greater than 11. This option could be the third side of a triangle.
Therefore, the options that could be the third side of a triangle are:
1) 2
2) 9
4) 11
Apply the triangle inequality theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.
answers:
2
9
11
1
3 answers
pick one.
Based on the triangle inequality theorem, the third side of a triangle with the first two sides measuring 4 and 6 could be either 2 or 11.