SOLUTION: In triangle CDE, CD=3y, DE=30, and CE=45. Determine the range possible values for y I think the answer is 5<y<25 is this correct?

Algebra ->  Triangles -> SOLUTION: In triangle CDE, CD=3y, DE=30, and CE=45. Determine the range possible values for y I think the answer is 5<y<25 is this correct?      Log On


   

Question 103131: In triangle CDE, CD=3y, DE=30, and CE=45. Determine the range possible values for y
I think the answer is 5 is this correct?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

in triangle one side is always less then the sum of two other sides,
so, if
CD=3y
DE=30
and CE=45
we can say that
CD< DE+CE
or
3y< 30+45
3y< 75
y< 75%2F3
y < 25
also, in triangle one side is always greater then the difference of two other sides,
so,
CD> CE-DE
3y> 45-30
3y> 15
y> 15%2F3
y >5
5%3Cy%3C25