jimmyjamesdonkey wrote:
Which of the following is a possible length for side AB of triangle ABC if AC = 6 and BC = 9?
I.3
II.9 √3
III.13.5
(A)I only
(B)II only
(C)III only
(D)II and III
(E)I, II, and III
The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
(9 - 6) < AB < (9 + 6)
3 < AB < 15.
Only 13.5 is in this range ( 9\sqrt{3} \approx{9*1.7}=15.3>15
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