SOLUTION: two sides of a triangle have lengths 5 and 12.what must be true about the lenght of the thrid side

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Question 474955: two sides of a triangle have lengths 5 and 12.what must be true about the lenght of the thrid side

Found 2 solutions by richard1234, Alan3354:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
The third side must be between 7 and 17. To see why, draw segment AB with length 12. Draw a circle with radius 5 around point B. You can connect vertex A to some point on the circle to obtain the third side.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The 3rd side has to be greater than the difference and less than the sum of the other 2 sides.
7 < s < 17

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