In quadrilateral ABCD, we have AB = 3, BC = 6, CD = \(9\), and DA = \(12\).
If the length of diagonal AC is an integer, what are all the possible values for AC? Explain your answer in complete sentences.
+9519 The exact same problem was answered here: https://web2.0calc.com/questions/quadrilateral_18#r1
+2666 Notice that hte diagonal dorms 2 triangles, 1 with sides 3 and 6, and the other with 9 and 12.
The triangle inequality states that the sum of the 2 smallest sides must be greater than the largest side.
The only numbers that satisfy both triangles are \(\color{brown}\boxed{4,5,6,7,8}\)
