According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the two sides given are 4 and 6.
To find which option could be the third side of the triangle, we can check if the sum of the two given sides is greater than the length of each option.
Checking the options:
A) 1: 4 + 6 > 1? (10 > 1) - True
B) 9: 4 + 6 > 9? (10 > 9) - True
C) 11: 4 + 6 > 11? (10 > 11) - False
D) 2: 4 + 6 > 2? (10 > 2) - True
Based on the Triangle Inequality Theorem, option C) 11 is not valid because the sum of the two given sides is not greater than 11. Therefore, the third side of the triangle cannot measure 11 units.
The options that could be the third side of the triangle are A) 1, B) 9, and D) 2.
Apply the Triangle Inequality Theorem and determine which option could be the third side of the triangle if the two sides measure 4 and 6?
A) 1
B) 9
C) 11
D) 2
1 answer
1 answer