Answer to Question #17032 in Analytic Geometry for Nijwm
According to the triangle rule the triangle BDA can be formed only when |AB - AD| < BD < AB + BD.
So, 4 < BD < 16
Consider the triangle BDC. CB = 18, CD = 6.
According to the triangle rule the triangle BDC can be formed only when |CB - CD| < BD < CB + CD.
So, 12 < BD < 24
Quadrilateral ABCD can be formed when both triangles BDA and BDC can be formed.
So, 12 < BD < 16.
BD must be integer, so BD can be equal to 13, 14 and 15 – 3 different values in total.
So, 3 different Quadrilaterals can be formed.
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