1

Part of 2002 Nordic

Problems(1)

equal segments in an isosceles inscribed trapezoid

Source: Nordic Mathematical Contest 2002 #1

{ABCD}

{AB}

{CD}

are parallel and

{AD < CD}

, is inscribed in the circle

{PB}

{DP}

be a chord of the circle, parallel to

{AC}

. Assume that the tangent to

{c}

{D}

{AB}

{E}

{PB}

{DC}

{Q}

{EQ = AC}

isoscelestrapezoidgeometry