SOLUTION: Please help me with this problem... {{{Find the legnth of the base of a triangle when one side is 2cm shorter than the base and the other side is 3cm longer than the base. The per

Algebra ->  Inequalities -> SOLUTION: Please help me with this problem... {{{Find the legnth of the base of a triangle when one side is 2cm shorter than the base and the other side is 3cm longer than the base. The per      Log On


   



Question 57498This question is from textbook
: Please help me with this problem...

i am very lost on even how to begin :-(
This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the base of a triangle when one side is 2 cm shorter than
the base and the other side is 3 cm longer than the base. The perimeter is greater than 19 cm.
:
Let b = base; perimeter of a triangle: a + b + c > 19
:
"one side is 2 cm shorter than the base"
a = (b - 2)
:
"other side is 3 cm longer than the base"
c = (b + 3)
:
"The perimeter is greater than 19 cm."
a + b + c > 19
:
Substitute for a & c:
(b-2) + b + (b+3) > 19
3b - 2 + 3 > 19
3b + 1 > 19
3b > 19 - 1
3b > 18
b > 18/3
b > 6