SOLUTION: The sides of a triangle all have integer lengths. two sides have lengths 7 and 10. if the largest and smallest possible perimeters for the triangle are L and S, the value of L +S
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Question 479220: The sides of a triangle all have integer lengths. two sides have lengths 7 and 10. if the largest and smallest possible perimeters for the triangle are L and S, the value of L +S is ??? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Any side of a triangle has to be more than the difference of the other 2, and less than the sum of the other 2.
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c > 10 - 7
c > 3
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c < 10 + 7
c < 17
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The smallest integer value is 4, and the largest is 16.
S = 7 + 10 + 4 = 21
L = 7 + 10 + 16 = 33
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L + S = 54
