math
posted by brittany .
the sum of the lenths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 17 cm and a second side that is 4cm less than twice the third side, what are the possible lenths for the second and third side?

You succinctly state the property being used. Then you give the two sides. What keeps you from figuring the answer?
Using a,b,c for the sides,
a = 17
b = 2c4
We know that a+b > c, so 17+2c4 > c
13 > c
So, any value of c < 13 will work.
For example:
a = 17
c = 10
b = 16
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