SOLUTION: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. In (triangle) ABC, BC=4 and AC=8 - AB. What can you conclude about AB?
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Question 773861: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. In (triangle) ABC, BC=4 and AC=8 - AB. What can you conclude about AB?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
BC=4 and AC=8 - AB
AB < BC + AC (since any side is less than the sum of the other 2 sides)
AB < 4 + 8 - AB (since BC = 4, and AC = 8 - AB)
AB < 12 - AB
Moving AB to the left side
2*AB < 12
What we can conclude about AB is that it has to be less than 6.
Hope you got it :)
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