TRIANGULAR AREA

In ΔABC, 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 ΔBXE have area a, ΔBXC have area b, and ΔCXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.
Let ΔBXE have area a, ΔBXC have area b, and ΔCXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.
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