Asked by Yin M

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
Answered by drwls
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.
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