Apply the triangle inequality theorem and determine which group of side measures will form a triangle. Would it be numbers 81 or seven or is it 276 or is it 94 and three or could it be 1210 and 22?
To determine if a set of side measures can 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 apply the theorem to each set of side measures:
1. 81, 7: 81 + 7 > 81
This inequality is not true, so a triangle cannot be formed with side measures 81, 7.
2. 27, 6: 27 + 6 > 27
This inequality is not true, so a triangle cannot be formed with side measures 27, 6.
3. 94, 3: 94 + 3 > 94
This inequality is not true, so a triangle cannot be formed with side measures 94, 3.
4. 1210, 22: 1210 + 22 > 1210
This inequality is true, so a triangle can be formed with side measures 1210, 22.
Therefore, the only group of side measures that can form a triangle is 1210 and 22.