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 16cm and the second side that is 2 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 16cm and the second side that is 2 cm less than twice       Log On


   

Question 462310: 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 16cm and the second side that is 2 cm less than twice the third side, what are the possible lengths for the second and third side?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given side DISABLED_event_one= 16+cm
Let x = third side


side two = %282x-2cm%29
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+-+2cm+%3C+x+%2B+16cm
2x+-+x+%3C+2cm+%2B+16cm
x+%3C+18cm
and
side two + side 3 greater than side 1

%282x-2cm%29+%2B+x+%3E+16cm
3x-2cm%3E+16cm
3x%3E+16cm%2B2cm
3x%3E+18cm
x%3E+6cm
"what are the possible lengths for the second and third sides?"
Using integers
+6+%3C+x+%3C+18
the 3rd & 2nd sides would be:

x |(2x-2)
------------
7 |12
8 |14
9 | 16
10|18
11| 20
12|22
13| 24
15|28
16|30
17|32