In ABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E. Let BD and CE meet at X.Let Δ BXE have area a, Δ BXC have area b, and Δ CXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.

In ABC, produce a line from B to AC, meeting at D, and from C to AB,

1.	In ABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E. Let BD and CE meet at X.Let Δ BXE have area a, Δ BXC have area b, and Δ CXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.
Answer» In ABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E. Let BD and CE meet at X.Let $Δ$ BXE have area a, $Δ$ BXC have area b, and $Δ$ CXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.

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In ABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E. Let BD and CE meet at X.Let Δ BXE have area a, Δ BXC have area b, and Δ CXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.

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