Problema 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 19cm and a second side that is 2cm less than twice the third side, what are the possible lengths for the second and third sides?
Answer provided by our tutors
Given side one =
Let = third side
side two =
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
and
side two + side 3 greater than side 1
"what are the possible lengths for the second and third sides?"
Using integers
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