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Omni-MATH / In convex quadrilateral ABCD with AB=11 and CD=13, there is a point P for which △ADP and △BCP are congruent equilateral triangles. Compute the side length of these triangles.

Problem

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problem

In convex quadrilateral ABCDABCD with AB=11AB=11 and CD=13CD=13, there is a point PP for which △ADP\triangle ADP and △BCP\triangle BCP are congruent equilateral triangles. Compute the side length of these triangles.
Plain-text mathematical notation (without MathML)
In convex quadrilateral ABCD with AB=11 and CD=13, there is a point P for which △ADP and △BCP are congruent equilateral triangles. Compute the side length of these triangles.
Original LaTeX notation
In convex quadrilateral \(ABCD\) with \(AB=11\) and \(CD=13\), there is a point \(P\) for which \(\triangle ADP\) and \(\triangle BCP\) are congruent equilateral triangles. Compute the side length of these triangles.

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Source and history

task_id
5ba4f6b4-a9c6-50b9-b5a7-883c2fefc758
task_key
test--5ba4f6b4-a9c6-50b9-b5a7-883c2fefc758
task_revision_id
1
config / split
/ test

Official source

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