If n is an integer and 3 < n < 8, how many different triangles are there with side lengths of 3, 8, and n?

a. one
b. two
c. three
d. four
e. five

1 answer

The other side has to have a length between 8-3 = 5 and 8 + 3 = 11, but not equal to 5 or 11. Since the length must also be an integer (since they say so) the possible side lengths are 6,7,8, 9 and 10.

That makes five possibilities.