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  • ...l let <math>ABC </math> be any right triangle with a right angle at <math>\angle ACB</math>.
    5 KB (885 words) - 22:03, 5 October 2024
  • ...ath>E</math>, and <math>F</math>. We know it is equilateral because of the angle of <math>60^\circ</math> shown, and because the tangent lines <math>\overli
    3 KB (415 words) - 17:01, 24 May 2020
  • ...nd let <math>K</math> be the point on <math>\Gamma</math> such that <math>\angle HKQ = 90◦</math> . Assume that the points <math>A</math>, <math>B</math>,
    4 KB (709 words) - 14:00, 1 June 2024
  • ...cutting plane makes an [[angle]] with an [[axis]] that is larger than the angle between the slant height and the axis. ...d when the cutting plane makes an angle with the axis that is equal to the angle between the element of the cone and the axis.
    6 KB (1,003 words) - 15:47, 13 November 2024
  • When two secants intersect on the circle, they form an [[inscribed angle]]. ...sure of an [[inscribed angle]] is always half the measure of the [[central angle]] with the same endpoints.
    9 KB (1,585 words) - 12:46, 2 September 2024
  • An ellipse is formed by cutting through a [[cone]] at an [[angle]]. ...ine to the ellipse at <math>P</math>. Then it is true that the bisector of angle <math>F_{1}PF_{2}</math> is perpendicular to <math>\ell</math>.
    5 KB (892 words) - 20:52, 1 May 2021
  • == Angle addition identities == The trigonometric angle addition identities state the following identities:
    8 KB (1,397 words) - 20:55, 20 January 2024
  • ...angle <math>A</math>, with side lengths specified in the diagram. Because angle <math>A</math> must be less than <math>90^{\circ}</math> for the triangle t * '''Sine''': The sine of angle <math>A</math>, denoted <math>\sin (A)</math>, is defined as the ratio of t
    8 KB (1,217 words) - 19:15, 7 September 2023
  • ...given circle are [[perpendicular]] to each other and intersect at a right angle at point <math>E</math>. Given that <math>BE=16</math>, <math>DE=4</math>,
    5 KB (859 words) - 15:11, 8 December 2024
  • ...th>Y</math> is on side <math>{BC}</math> such that <math>AX = 5</math> and angle <math>{AYX}</math> is right. What is <math>AY \cdot XY?</math> ...ngle chosen from <math>1^{\circ},2^{\circ}, \dots,90^{\circ}</math> and an angle chosen from <math>1^{\circ},2^{\circ},\dots,89^{\circ}</math> determine two
    12 KB (1,784 words) - 15:49, 1 April 2021
  • ...<math>BFDE</math>. The area of rhombus <math>ABCD</math> is 24, and <math>\angle BAD = 60^\circ</math>. What is the area of rhombus <math>BFDE</math>? Isosceles <math>\triangle ABC</math> has a right angle at <math>C</math>. Point <math>P</math> is inside <math>\triangle ABC</mat
    13 KB (2,058 words) - 11:36, 4 July 2023
  • ...> sharing common side <math>AB</math>, <math>\angle{EAB}</math> and <math>\angle{ABC}</math> are right angles, <math>AB=4</math>, <math>BC=6</math>, <math>A
    13 KB (1,953 words) - 23:31, 25 January 2023
  • Find the degree measure of an angle whose complement is 25% of its supplement. ...a right triangle with <math>\angle ACB</math> as its right angle, <math>m\angle ABC = 60^{\circ}</math>, and <math>AB = 10</math>. Let <math>P</math> be ra
    12 KB (1,792 words) - 12:06, 19 February 2020
  • ...n <math>\overline{OA}</math> and <math>\overline{BC}</math> bisects <math>\angle ABO</math>, then <math>OC =</math> ...tion of <math>\overline{BC}</math> with the [[angle bisector|bisector]] of angle <math>BAC</math>. Which of the following is closest to the area of the tria
    13 KB (1,948 words) - 09:35, 16 June 2024
  • ...1,4)</math>, and <math>E=(0,4)</math>. What is the probability that <math>\angle APB</math> is obtuse? ...math>2\cdot BD=CD</math> and <math>\angle DAB=15^\circ</math>. Find <math>\angle ACB</math>.
    13 KB (1,957 words) - 11:53, 24 January 2024
  • ...of <math>\cot \angle DBE,</math> <math>\cot \angle CBE,</math> <math>\cot \angle DBC</math> form an [[arithmetic progression]]. What is the area of <math>\t
    13 KB (2,049 words) - 12:03, 19 February 2020
  • ...o the circles, and the altitude creates <math>\angle OHD</math> as a right angle. <math>ADHO</math> is a rectangle with <math>OH</math> bisecting <math>DP</
    3 KB (458 words) - 15:40, 6 October 2019
  • ...es so they are congruent, as are angles <math>\angle ADE</math> and <math>\angle BCE</math> (both are right angles because the radius and [[tangent line]] a
    2 KB (286 words) - 09:16, 19 December 2021
  • First note that angle <math>\angle AFE</math> is right since <math>\overline{AF}</math> is tangent to the circ ...Therefore, since <math>D</math> lies on <math>\overline{BE}</math>, <math>\angle ADE = 135^\circ</math>. Using the Law of Cosines on <math>\triangle ADE</ma
    6 KB (958 words) - 22:29, 28 September 2023
  • ...<math>\tan\theta=\frac{5}{12}</math>. <math>L_1</math> clearly bisects the angle formed by <math>L_2</math> and the x-axis, so <math>m=\tan{2\theta}=\frac{2
    2 KB (295 words) - 01:24, 30 October 2024

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