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Omni-MATH / Triangle △PNR has side lengths PN=20,NR=18, and PR=19. Consider a point A on PN. △NRA is rotated about R to triangle N^{prime} R A^{prime} so that R, N^{prime}, and P lie on the sa…

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problem

Triangle △PNR\triangle P N R has side lengths PN=20,NR=18P N=20, N R=18, and PR=19P R=19. Consider a point AA on PNP N. △NRA\triangle N R A is rotated about RR to \(\triangle N^{\prime} R A^{\prime}\) so that \(R, N^{\prime}\), and PP lie on the same line and \(A A^{\prime}\) is perpendicular to PRP R. Find PAAN\frac{P A}{A N}.
Plain-text mathematical notation (without MathML)
Triangle △PNR has side lengths PN=20,NR=18, and PR=19. Consider a point A on PN. △NRA is rotated about R to \(\triangle N^{\prime} R A^{\prime}\) so that \(R, N^{\prime}\), and P lie on the same line and \(A A^{\prime}\) is perpendicular to PR. Find (PA)/(AN).
Original LaTeX notation
Triangle \(\triangle P N R\) has side lengths \(P N=20, N R=18\), and \(P R=19\). Consider a point \(A\) on \(P N\). \(\triangle N R A\) is rotated about \(R\) to \(\triangle N^{\prime} R A^{\prime}\) so that \(R, N^{\prime}\), and \(P\) lie on the same line and \(A A^{\prime}\) is perpendicular to \(P R\). Find \(\frac{P A}{A N}\).

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task_id
e9f1d6e9-ae84-54d5-b373-2074cf2b9f2b
task_key
test--e9f1d6e9-ae84-54d5-b373-2074cf2b9f2b
task_revision_id
1
config / split
/ test

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