SOLUTION: I'm stuck can you please explain thanks. Find the range of possible lengths for the third side here are the two sides 9,8 it has multiple choice A 2<x<13 B1<x<17 C1<x<14 D4<x<19

Algebra ->  Triangles -> SOLUTION: I'm stuck can you please explain thanks. Find the range of possible lengths for the third side here are the two sides 9,8 it has multiple choice A 2<x<13 B1<x<17 C1<x<14 D4<x<19      Log On


   

Question 541737: I'm stuck can you please explain thanks. Find the range of possible lengths for the third side here are the two sides 9,8 it has multiple choice A 2
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

This kind of triangle problem is fairly simple.

There is a rule for triangle side lengths.

Each leg must be between the difference and sum of the other two legs (non-inclusively).

So, since your two legs are 8 and 9, we have:

9-8%3Cs%3C9%2B8

1%3Cs%3C17

Therefore the possible length of the third side of your triangle would be:

any real number between 1 and 17 (not including 1 and 17 of course). Or

1%3Cs%3C17

If the 3rd side of your triangle was EXACTLY 1 or 17, it would be a degenerate triangle which appeared to be a straight line.

The answer would be B 1%3Cx%3C17

I hope this helps!