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 9 cm and a second side that is 3 cm less than twice th
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Question 138703: 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 9 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 ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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 9 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?
:
Given side DISABLED_event_one= 9 cm
Let x = third side
side two = (2x-3)
:
The equations of the statement:
"The sum of the lengths of any two sides of a triangle must be greater than the third side."
:
Side two less than sides 3 + 1
(2x - 3) < x + 9
2x - x < 9 + 3
x < 12
and
Side two + side 3 greater than side 1
(2x-3) + x > 9
3x > 9 + 3
3x > 12
x >
x > 4
:
"what are the possible lengths for the second and third sides?"
:
Using integers
x > 4 to x < 12
:
the 3rd & 2nd sides would be:
x |(2x-3)
------------
11, 19
10, 17
9, 15
8, 13
7, 11
6, 9
5, 7
