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Find the area in terms of a, b - [Iran Second Round 1986]

Source:

December 24, 2010

geometrytrapezoidgeometry proposed

Problem Statement

In a trapezoid

ABCD

, the legs

AB

and

CD

meet in

M

and the diagonals

AC

and

BD

meet in

N.

Let

AC=a

and

BC=b.

Find the area of triangles

AMD

and

AND

in terms of

a

and

b.

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