Question 295811: The lengths of two sides of a triangle are 12 miles and 19 miles. Which set of lengths could represent the possible length of the third side, t?
(Points: 1)
7 miles < t < 19 miles
7 miles < t < 31 miles
12 miles < t < 19 miles
12 miles < t < 31 miles
Answer by alicealc(293)   (Show Source):
You can put this solution on YOUR website! in a triangle, the sum of two smaller sides must be more than the length of the longest side.
so, if it's known that the two sides of the triangle are 12 miles and 19 miles, and the third side t is unknown, then there is 2 possibilities:
1. t is the shortest side, so:
t + 12 > 19
t > 19 - 12
t > 7
2. t is the longest side, so:
12 + 19 > t
31 > t
so,the answer is: 7 miles < t < 31 miles (second answer)
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