The Triangle Inequality Theorem

The Triangle Inequality Theorem
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  • 
  • Example: ALL LENGTHS ARE MEASURED IN CENTIMETERS) 3+3= 6>1  3+1= 4>3\ 1+3= 4>3
  • Ok!
  • Since your son has a 5 cm side and a 4 cm side, we will have to do the triangle inequality theorem.
  • Lets try one centimeter for a side! Since his other sides measure 4 cm and 5 cm..
  • 1+5= 6>4 1+4= 5=5
  • 1+5=6>4
  • Maybe 9 ?
  • 9+5= 14>4 9+4= 13>5 4+5= 9=9
  • 
  • Maybe 3 ?
  • Yay! it works!
  • 3+5= 8>4 4+5= 9>3 3+4= 7>5
  • If your son's sides are 5 cm and 4 cm, then the third side will have to be a number that is greater than one and less than nine.
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