Answer: No ✗
Step-by-step explanation:
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The following must be true. let 12 be a, 6 be b, and 6 be c. We will test all inequalities for the given lengths.
a + b > c
a + c > b
b + c > a
-
12 + 6 > 6 ✓
12 + 6 > 6 ✓
6 + 6 > 12 ✗
Since only two of the three inequalities are true, these side lengths will not create a triangle.