How many integers values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?

2 answers

In ΔABC, m∠C = 118 and m∠B = 44. Which is the shortest side of the triangle?
Please do not add second questions to your own question thread. It is confusing for the teachers.

The possible side lengths in your first question are between 8-5 (=3) and 8+5(=13) . Allowed integer values would be 4,5,6,7,8,9,10, 11 and 12.

That makes 9 values.

In your second question, the third angle of the triangle must be 18 degrees. The shortest side is opposite the smallest angle (A).