SOLUTION: How many different triangles are there for which the lengths of the sides are 3, 8, and n, where n is an integer and 3 < n

SOLUTION: How many different triangles are there for which the lengths of the sides are 3, 8, and n, where n is an integer and 3 < n < 8?

Question 309578: How many different triangles are there for which the lengths of the sides are 3, 8, and n, where n is an integer and 3 < n < 8?
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
to make a triangle, the sum of two smaller sides must be greater than the third side.
so, if the side are 3, 8, and n, and 3 < n < 8
the possible values of n are 6 and 7
(3 + 6 > 8 and 3 + 7 > 8)
so, there will be 2 different triangles (triangle 1 with sides of 3,8,6 and triangle 2 with sides of 3,8,7)

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