MathDB

2009 JBMO Shortlist G2

Source: 2009 JBMO Shortlist G2

October 8, 2017

geometryJBMO

Problem Statement

In right trapezoid

{ABCD \left(AB\parallel CD\right)}

the angle at vertex

B

measures

{{75}^{{}^\circ }}

. Point

{H}

is the foot of the perpendicular from point

{A}

to the line

{BC}

. If

{BH=DC}

and

{AD+AH=8}

, find the area of

{ABCD}

.

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