SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice

Algebra ->  Triangles -> SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice       Log On


   

Question 984495: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The sides would be 21, 2x-3, and x;
x would be the 'last' side ("third side").

Only positive x values are acceptable in this system:
system%2821%2B2x-3%3Ex%2C2x-3%2Bx%3E21%2C21%2Bx%3E2x-3%29

system%2818%3E-x%2C3x%3E24%2C21%2B3%3Ex%29

system%28x%3E-18%2Cx%3E8%2Cx%3C24%29--------the first inequality in this simplified system is not useful. The next two inequalities are useful.

RESULT: highlight%288%3Cx%3C24%29-------possible lengths for the 'last' side.

SECOND SIDE: between 2%2A8-3 and 2%2A24-3;
Between 13 and 45 EXCLUSIVE.