Question

Question
Apply the Triangle Inequality Theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. List them in ascending order.(2 points)
The measure of the third side could be
,
, or
.

Answer 1

By the triangle inequality, the third side x must satisfy 6 - 2 < x < 6 + 2, so 4 < x < 8. The whole-number possibilities are 5, 6, or 7.