Question

apply the triangle inequality theorem and determine which option could be the third side of a triangle if the first two sides measure ; and 6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if a third side could form a triangle with sides of length 4 and 6, we can 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.

For the first two sides measuring 4 and 6, we can check if a third side of length x could form a triangle:

4 + 6 > x
10 > x

Since x must be less than 10 in order for the triangle to exist, the possible values for the third side (x) are any real number greater than 6 and less than 10.