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Omni-MATH / Let ABCD be an isosceles trapezoid with AB=1,BC=DA=5,CD=7. Let P be the intersection of diagonals AC and BD, and let Q be the foot of the altitude from D to BC. Let PQ intersect AB…

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problem

Let ABCDABCD be an isosceles trapezoid with AB=1,BC=DA=5,CD=7AB=1, BC=DA=5, CD=7. Let PP be the intersection of diagonals ACAC and BDBD, and let QQ be the foot of the altitude from DD to BCBC. Let PQPQ intersect ABAB at RR. Compute sin∠RPD\sin \angle RPD.
Plain-text mathematical notation (without MathML)
Let ABCD be an isosceles trapezoid with AB=1,BC=DA=5,CD=7. Let P be the intersection of diagonals AC and BD, and let Q be the foot of the altitude from D to BC. Let PQ intersect AB at R. Compute sin∠RPD.
Original LaTeX notation
Let \(ABCD\) be an isosceles trapezoid with \(AB=1, BC=DA=5, CD=7\). Let \(P\) be the intersection of diagonals \(AC\) and \(BD\), and let \(Q\) be the foot of the altitude from \(D\) to \(BC\). Let \(PQ\) intersect \(AB\) at \(R\). Compute \(\sin \angle RPD\).

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Source and history

task_id
01b3edf0-2876-5a06-aaac-a067fd6db28b
task_key
test--01b3edf0-2876-5a06-aaac-a067fd6db28b
task_revision_id
1
config / split
/ test

Official source

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