Hello, thank you for taking time to help me out. I have been working on this problem for over a day now and still can't figure it out. I have asked my math teacher and she was unable to help either.
I'm given the following:
AB=6; BC+2AC=18
What can you conclude about AC in triangle ABC?
Since I know two sides of a traingle are greater than the third side i can write three inequalities, each with AC:
AB+BC>AC
AC+BC>AB
AC+AB>BC
I can also figure out that since BC+ 2AC=18 then:
BC=18-2AC
However when i substitute what i already know(AB and BC) it never works for me.
Can someone workout the inequalities? maybe i'm doing something wrong.
thank you for your time! =)
I'm given the following:
AB=6; BC+2AC=18
What can you conclude about AC in triangle ABC?
Since I know two sides of a traingle are greater than the third side i can write three inequalities, each with AC:
AB+BC>AC
AC+BC>AB
AC+AB>BC
I can also figure out that since BC+ 2AC=18 then:
BC=18-2AC
However when i substitute what i already know(AB and BC) it never works for me.
Can someone workout the inequalities? maybe i'm doing something wrong.
thank you for your time! =)
-
Without even using those inequalities you can show using BC+2AC=18 that in order to BC to even exist that AC<9.