Final answer:
To determine if points E, F, and G are collinear given their lengths, we can check if the sum of the lengths of any two sides is equal to or greater than the length of the third side.
Step-by-step explanation:
Given three points E, F, and G where EF = 16, FG = 7, and EG = 23, we can determine if points E, F, and G are collinear by checking if the sum of the lengths of any two sides is equal to or greater than the length of the third side.
In this case, we have:
- EF + FG = 16 + 7 = 23
- EF + EG = 16 + 23 = 39
- FG + EG = 7 + 23 = 30
Since none of these sums are equal to or greater than the remaining side, we can conclude that points E, F, and G are not collinear.