quadrilateral area
Source:
February 26, 2008
geometryperimeterinequalitiestrigonometry
Problem Statement
A convex quadrilateral with area contains a point in its interior such that PA \equal{} 24, PB \equal{} 32, PC \equal{} 28, and PD \equal{} 45. FInd the perimeter of .
(A)\ 4\sqrt {2002}\qquad (B)\ 2\sqrt {8465}\qquad (C)\ 2\left(48 \plus{} \sqrt {2002}\right)
(D)\ 2\sqrt {8633}\qquad (E)\ 4\left(36 \plus{} \sqrt {113}\right)