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

Algebra ->  Triangles -> 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      Log On


   



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) About Me  (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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