## If two sides of a triangle are of measures 15 and 28, what is the range of possible values for the third side x?

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Lorem ipsum dolor sit amet, consectetur adipiscing elit.Morbi adipiscing gravdio, sit amet suscipit risus ultrices eu.Fusce viverra neque at purus laoreet consequa.Vivamus vulputate posuere nisl quis consequat.

## Answers ( No )

Let side a = 5. Let side b = 9. Then the triangle has

sides

a=5, b=9, and c=?. Any side of a triangle must be less

than the other two sides added together, so

a < b+c, b < a+c, and c < a+b

Substituting:

5 < 9+c, 9 < 5+c, and c < 5+9

Solving all three for c:

-4 < c, 4 < c, c < 14

The first one is of course true, so ignore it.

Put the second and third together and get

4 < c < 14