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• 1993 AJHSME Problems/Problem 10
  The greatest monthly drop in price occurred during ...ore, <math> \boxed{\text{(B)}\ \text{March}} </math> has the largest price drop.
  1 KB (176 words) - 12:27, 27 June 2023
• 1970 Canadian MO Problems/Problem 6
  From <math>C</math>, drop a perpendicular to line <math>k</math>, and let this point be <math>D</math
  2 KB (293 words) - 21:24, 21 December 2011
• 1989 AHSME Problems/Problem 15
  Drop the altitude <math>h</math> from <math>B</math> through <math>AD</math>, an
  2 KB (275 words) - 20:37, 24 March 2023
• 2012 AMC 12B Problems/Problem 21
  Drop a perpendicular line from <math>A</math> to the line of <math>EF</math> tha
  9 KB (1,451 words) - 10:01, 27 December 2022
• 2003 AMC 8 Problems/Problem 21
  ..., we have <math>164=8(\frac{BC+AD}{2})</math>. Thus <math>BC+AD=41</math>. Drop perpendiculars from <math>B</math> to <math>AD</math> and from <math>C</mat
  1 KB (198 words) - 10:37, 14 June 2024
• 2012 AIME I Problems/Problem 12
  ...CE = \angle ECD = \angle ECA = \tfrac 13 \cdot 90^\circ = 30^\circ</math>. Drop the altitude from <math>D</math> to <math>CB</math> and call the foot <math
  9 KB (1,523 words) - 12:23, 7 September 2022
• 1974 AHSME Problems/Problem 23
  Drop the perpendicular from <math> P </math> to <math> T'Q </math> and let the f
  2 KB (337 words) - 12:44, 5 July 2013
• 1989 AHSME Problems/Problem 4
  Drop perpendiculars from <math>A</math> and <math>B</math>; then the triangle <m
  2 KB (271 words) - 07:42, 22 October 2014
• 2013 AMC 10A Problems/Problem 18
  Splitting: Drop perpendiculars from <math>B</math> and <math>C</math> to the x-axis to divi
  4 KB (592 words) - 22:19, 2 November 2023
• 2013 AIME I Problems/Problem 12
  ...45^\circ</math> angle and a <math>30^\circ</math> angle. This allows us to drop an altitude from point <math>P</math> for <math>\triangle RPQ</math> which
  9 KB (1,490 words) - 02:25, 2 May 2024
• 1989 AHSME Problems/Problem 7
  ...rline{BM}</math> is a median, so <math>\overline{AM}=\overline{MC}</math>. Drop an altitude from <math>M</math> to <math>\overline{HC}</math>, adding point
  2 KB (221 words) - 18:04, 21 October 2018
• 2014 AIME II Problems/Problem 14
  Let us just drop the perpendicular from <math>B</math> to <math>AC</math> and label the poin
  11 KB (1,442 words) - 19:28, 21 October 2023
• 1962 AHSME Problems/Problem 37
  If we drop an altitude from <math>E</math> to <math>\overline{DC}</math>, and call the
  4 KB (631 words) - 09:08, 13 April 2023
• 2014 AMC 10A Problems/Problem 16
  Proof: Drop perpendiculars of triangles <math>HJI</math> and <math>JIF</math> to line < Drop altitudes from <math>P</math> down to <math>\overline{DF}</math> and <math>
  9 KB (1,411 words) - 19:51, 25 July 2023
• 2014 AMC 12A Problems/Problem 15
  Since all we care about is the sum of the digits, we can drop the <math>0</math>'s.
  4 KB (612 words) - 22:42, 2 August 2021
• 2014 AMC 10B Problems/Problem 15
  ...ath>\angle EFD=180^{\circ}-(120^{\circ}+30^{\circ})=30^{\circ}</math>. Now drop the altitude from <math>E</math> of <math>\triangle DEF</math>, forming two WLOG, let <math>AD = 1</math> and <math>DC = 2</math>. Furthermore, drop an an altitude from <math>F</math> to <math>CD</math>, which meets <math>CD
  3 KB (536 words) - 21:02, 31 October 2022
• 2014 AIME I Problems/Problem 10
  ...>\sin^2{\angle BEA}</math>, we construct <math>\triangle BDE</math>. Also, drop a perpendicular from <math>D</math> to <math>\overline{EA}</math>, and call Now drop a perpendicular from <math>B</math> to <math>\overline{EA}</math>, and call
  5 KB (854 words) - 20:02, 4 September 2021
• 2014 AIME I Problems/Problem 13
  Then, if we drop a perpendicular from <math>H</math> to <math>BC</math> at <math>L</math>, W
  9 KB (1,404 words) - 21:07, 13 October 2023
• 1993 AHSME Problems/Problem 27
  ...e circle switches from being on <math>AB</math> to <math>BC</math>). Then, drop the perpendiculars as shown.
  3 KB (420 words) - 11:10, 18 July 2020
• 1993 AHSME Problems/Problem 14
  First, drop perpendiculars from points <math>A</math> and <math>B</math> to segment <ma
  2 KB (308 words) - 19:01, 9 March 2020

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