if the lengths of two sides of a triangle are 10 and 14, the length of the third side may be ?

Question

anonymous · Answer

help any one

accessdenied · Answer

Triangle Inequality Theorem.  Have you heard of it?  That should give you the possible range of values for the third side.  :)

anonymous · Answer

i think so . but I forgot could you explian how to do this problem to me ?

accessdenied · Answer

Basically, if we have some triangle:
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Then the side lengths always relate like this:
 a + b > c, a + c > b, and b + c > a

accessdenied · Answer

So, if we call one side $x$ and the other two sides $14$ and $10$, we can solve for the $x$ interval that will work.

anonymous · Answer

okay let me try it out and then give you a answer .

anonymous · Answer

i got 22 is that right . my choices were 22, 2, 24, and 4

accessdenied · Answer

Yep, that's in the interval of values.  :)
The interval is 4<x<24, so x=22 works.