Question

Two sides of a triangle have lengths 5 and 12. Which inequalities represent the possible lengths for the third side, x?

Answer 1

The sum of any 2 sides has to be greater than the third side. The only candidates for the longest side are the side measuring 12 and the unknown third side (5 is too small).

So, if we call the measure of the third side "x", then:

5 + x >12

and

5 + 12 > x

So, 7 < x < 17

Answer 2

THANK YOU SO MUCH :)

Answer 3

You have to have the sum of any 2 sides of a triangle greater than the third or you will get this.

Answer 4

You're very welcome! Nice working with you.

Answer 5

Okay yes i get that now, thanks!