SOLUTION: the sum of the length of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 7 inches and a second side is 2 inches less then twice

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Question 277864: the sum of the length of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 7 inches and a second side is 2 inches less then twice the third side. what are the possible lenghts for the second and third sides?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let the sides be a, b & c
a=7
b=2c-2
c=c
.
c+7>2c-2
7>c-2
c<9
b<16
.
c+2c-2>7
3c>9
c>3
b>4
.
2c-2+7>c
c+5>0
c>-5
actually c>1 so that b can be positive but when that happens c is too short to join a and b so this configuration is impossible.
.
Ed