Question

in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible values for x

Answer 1

8 < x < 34

Explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.