SOLUTION: Determine if it is possible to draw a triangle with ides having the given measure: 1.) 3 cm, 4 cm, 5 cm 2.) 4 m, 5 m, 9 m 3.) 5 ft, 6 ft, 12 ft 4.) 3.5 cm, 4.5 cm, 7 cm

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Question 541075: Determine if it is possible to draw a triangle with ides having the given measure:
1.) 3 cm, 4 cm, 5 cm
2.) 4 m, 5 m, 9 m
3.) 5 ft, 6 ft, 12 ft
4.) 3.5 cm, 4.5 cm, 7 cm

Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
In any triangle the sum of the lengths of any two sides must be greater than the length of the third side.


3,4,5 - Yes. 3+4>5 and 4+5>3 and 3+5>4. Also, this is a special right triangle (Pythagorean Triple).


4,5,9 - No. 4+5=9.


5,6,12 - No. 5+6<12


3.5, 4.5, 7 - Yes. 3.5+4.5>7 and 7+4.5>3 and 7+3.5>4.5

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