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- pair A,B,C,DD,EE,FF, M; B = (0,0); C = (3,0); M = (1.45,0);27 KB (4,256 words) - 19:30, 17 January 2024
- We could use the famous m-n rule in trigonometry in <math>\triangle ABC</math> with Point <math>E</ma <cmath>[AEB] + [BEC] = \frac{1}{2}(x)(5)\sin(\angle DEC) + \frac{1}{2}(x)(15)\sin(180-\angle DE13 KB (2,046 words) - 18:33, 28 October 2023
- ...ath> and <math>n</math> are relatively prime positive integers. Find <math>m+n.</math> ...ta.</math> It follows that <math>\angle CED=\theta</math> and <math>\angle BEC=\angle DEA=180^\circ-\theta.</math>16 KB (2,635 words) - 19:56, 24 December 2023
- ...ppose that the splitting lines of <math>\triangle ABC</math> through <math>M</math> and <math>N</math> intersect at <math>30^\circ.</math> Find the peri Consider the splitting line through <math>M</math>. Extend <math>D</math> on ray <math>BC</math> such that <math>CD=CA<16 KB (2,730 words) - 02:56, 4 January 2023
- ...> where <math>m</math> and <math>n</math> are relatively prime, find <math>m+n.</math> .../math> We claim that <math>EF</math> is the angle bisector of <math>\angle BEC</math>.7 KB (744 words) - 21:18, 11 July 2021
- ...a positive integer not divisible by the square of any prime. What is <math>m+n+p?</math> ...C} = 120^{\circ}</math>. By the law of cosines (applied on <math>\triangle BEC</math>), <math>BC = \sqrt{13}</math>.5 KB (710 words) - 03:53, 12 November 2023
- ...and <math>EF = 6,</math> find the maximum possible area of triangle <math>BEC.</math> (A circumcircle of some triangle <math>\triangle ABC</math> is the ...vely prime positive integers <math>m</math> and <math>n.</math> Find <math>m+n.</math>6 KB (891 words) - 03:41, 23 December 2023
