Question

Find the possiable measures for line segmant xy in triangle xyz if xz is 6 and yz is six. Im really confused- if you could explain this i would really appericate it! Thanks!

Answer 1

The possible values of the the length of one side of a triangle lie in a range between the sum and the difference of the other two.

In this case, that would be 0 < xy < 12

Answer 2

The length of two sides of the triangle must add up to a length longer than the third side. To determind this you add the two sides that you know, and the 3rd side is less than that (since 6+6 = 12, the third side must be LESS than 12) and you need to subtract those same two sides to find out the possible length again (since 6 - 6 = 0 the 3rd side must be greater than zero)