Right Trapezoid Problem

Geometry Level pending

Given a right trapezoid ABCD which has 2 right angles at A and D and satisfies 2 A B = 2 A D = C D 2\overline{AB} = 2\overline{AD} = \overline{CD} . Draw a point K on AB. Draw a point H on BC such that DK is perpendicular to HK.

What can we say about triangle DKH? ( Bonus: Prove it)

It's an obtuse triangle It's an isoceles right triangle It's an acute triangle None of the other answers are right It's an equilateral triangle

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