apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.(1 point) Responses 2, 7, 6 2, 7, 6 8, 1, 7 8, 1, 7 9, 4, 3 9, 4, 3 12, 10, 22
In order to determine if a group of side measures will form a triangle, we need to apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's check each group of side measures:
1. 2, 7, 6
2 + 6 = 8 (greater than 7)
2 + 7 = 9 (greater than 6)
6 + 7 = 13 (greater than 2)
These side measures can form a triangle.
2. 8, 1, 7
1 + 7 = 8 (equal to 8)
8 is not greater than 1+7, so this group of side measures cannot form a triangle.
3. 9, 4, 3
4 + 3 = 7 (greater than 9)
4 + 9 = 13 (greater than 3)
3 + 9 = 12 (greater than 4)
These side measures can form a triangle.
4. 12, 10, 22
10 + 12 = 22 (equal to 22)
12 + 22 = 34 (greater than 10)
10 + 22 = 32 (greater than 12)
These side measures can form a triangle.
Based on the Triangle Inequality Theorem, the groups of side measures that will form a triangle are:
1. 2, 7, 6
2. 9, 4, 3
3. 12, 10, 22
Bot GPT 3.5 pick one group
Based on the Triangle Inequality Theorem, the group of side measures that will form a triangle is:
2, 7, 6