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between the Næstved Gymnasium in Denmark and the LP2I in France

ABCD is a rectangle trapeze with AB=6; CD=2 and AD=4.
M is a point on [AD] and AM=x.
AMNP is a rectangleas N is a point on [BC] and H is the orthogonal projection of C on (AB).
1) Give the interval that belong to x.
2) Prove that the triangle CHB is isocele rectangle in H.
Prove that PB = x.

Posted in Group7.

– 2 June 2009

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