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• 2001 AIME I Problems/Problem 4
  ...AT</math> and <math>AC</math> are congruent, so <math>AC=24</math>. We now drop an altitude from <math>C</math>, and call the foot this altitude point <mat
  3 KB (534 words) - 03:22, 23 January 2023
• 2003 AIME I Problems/Problem 12
  ...0 - 180 - 180 = 280</math>. Hence <math>280 = AD + BC = AD + DC'</math>. Drop the altitude of <math>\triangle{ABC'}</math> from <math>B</math> and call t
  3 KB (487 words) - 22:14, 24 November 2019
• 2003 AIME I Problems/Problem 7
  Drop an altitude from point <math>D</math> to side <math>AC</math>. Let the inte
  3 KB (490 words) - 18:13, 13 February 2021
• 2000 AIME II Problems/Problem 5
  ...ribute the rings among the fingers is equivalent the number of ways we can drop five balls into 4 urns, or similarly dropping five balls into four compartm
  1 KB (184 words) - 21:13, 12 September 2020
• 2005 AMC 10B Problems/Problem 14
  ...th>\overline{CD}=2</math>, so the formula becomes <math>A=h</math>. We can drop verticals down from <math>A</math> and <math>M</math> to points <math>E</ma Drop a vertical down from <math>M</math> to <math>BC</math>. Let us call the poi
  5 KB (904 words) - 15:15, 23 June 2024
• Unit circle
  ...nd meeting the positive x-axis with an angle of <math>\theta</math>. If we drop a perpendicular from the point of intersection between the ray and the circ
  2 KB (343 words) - 06:20, 25 November 2007
• Inradius
  Add in the incircle and drop the altitudes from the incenter to the sides of the triangle. Also draw the
  2 KB (321 words) - 22:54, 20 June 2024
• Mock AIME 3 Pre 2005 Problems/Problem 2
  ...th> (note that <math>0</math> is not a permissible digit); then we wish to drop <math>7</math> balls into these urns. Using the ball-and-urn argument, havi
  950 bytes (137 words) - 10:16, 29 November 2019
• 2007 AIME I Problems/Problem 8
  ...titutions into equation <math>(3)</math>, we see that the <math>k</math>'s drop out and we're left with <math>d = -5c</math>. Substituting this expression
  4 KB (728 words) - 00:11, 29 November 2023
• 2007 AIME II Problems/Problem 3
  Drop perpendiculars from <math>E</math> and <math>F</math> to <math>I</math> and
  6 KB (933 words) - 00:05, 8 July 2023
• 2007 USAMO Problems/Problem 6
  ...math>, so the [[distance]] between those lines is <math>2r=AX'-AY'</math>. Drop a perpendicular from <math>I</math> to <math>AO</math>, touching at <math>H
  7 KB (1,274 words) - 15:11, 31 August 2017
• LaTeX:Pictures
  ...nicCenter set up to produce PDF documents (LaTeX => PDF in the appropriate drop-menu). If you don't, you'll get a bunch of errors because LaTeX will expect
  9 KB (1,454 words) - 16:52, 19 February 2024
• 2004 AMC 12A Problems/Problem 22
  ...ting prism is a tetrahedron with base lengths of 2 and side lengths of 3. Drop a height from the top of the tetrahedron to the centroid of its equilateral
  2 KB (382 words) - 19:59, 29 January 2023
• 2008 AMC 12B Problems/Problem 25
  Drop perpendiculars to <math>CD</math> from <math>A</math> and <math>B</math>, a
  12 KB (2,015 words) - 20:54, 9 October 2022
• 2008 AMC 12B Problems/Problem 24
  ...wo adjacent equilateral triangles obeying the problem statement. For each, drop an altitude to the <math>x</math> axis and denote the resulting heights <ma
  9 KB (1,482 words) - 13:52, 4 April 2024
• 2008 AIME I Problems/Problem 15
  Drop a [[perpendicular]] from <math>R</math> to the side of the square containin
  6 KB (1,041 words) - 00:54, 1 February 2024
• 2008 AIME II Problems/Problem 5
  If you drop perpendiculars from <math>B</math> and <math>C</math> to <math>AD</math>, a
  8 KB (1,338 words) - 23:15, 28 November 2023
• 2008 AIME II Problems/Problem 11
  hence r/x = 16+r/(56-64r) ; now drop altitude AY to solve for tan2A ; now since we know tan2A we know tan A = r/
  6 KB (1,065 words) - 20:12, 9 August 2022
• 2003 AMC 12A Problems/Problem 17
  Using <math>4</math> instead as the base, we can drop a altitude from P. <math>\frac{32}{5}=\frac{bh}{2}</math>. <math>\frac{32}{ ...ll the intersection of <math>AM</math> and <math>DP</math> <math>X</math>. Drop perpendiculars from <math>X</math> and <math>P</math> to <math>AD</math>, a
  6 KB (1,026 words) - 22:35, 29 March 2023
• Two-column proof
  Proofs in higher levels of mathematics drop the explicit two-column format, but may still employ the method implicitly.
  1 KB (186 words) - 01:37, 14 June 2008

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