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  2. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    Set square, shaped as 30° - 60° - 90°° triangle The side lengths of a 30°–60°–90° triangle 30° - 60° - 90° right triangle of hypotenuse length 1. This is a triangle whose three angles are in the ratio 1 : 2 : 3 and respectively measure 30° (⁠ π / 6 ⁠), 60° (⁠ π / 3 ⁠), and 90° (⁠ π / 2 ⁠).

  3. Ailles rectangle - Wikipedia

    en.wikipedia.org/wiki/Ailles_rectangle

    An alternative construction (also by Ailles) places a 30°–60°–90° triangle in the middle with sidelengths of , , and . Its legs are each the hypotenuse of a 45°–45°–90° triangle, one with legs of length 1 {\displaystyle 1} and one with legs of length 3 {\displaystyle {\sqrt {3}}} .

  4. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    The values of the trigonometric functions can be evaluated exactly for certain angles using right triangles with special angles. These include the 30-60-90 triangle which can be used to evaluate the trigonometric functions for any multiple of , and the isosceles right triangle or 45-45-90 triangle which can be used to evaluate the trigonometric ...

  5. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.

  6. File:30° 60° 90° Special Right Triangle.svg - Wikipedia

    en.wikipedia.org/wiki/File:30°_60°_90°_Special...

    The right angle is symbolized by a small square, and its measure, 90°, is written to the right and above it. The angle placed to the right of the 90° angle is shown as an arc, and its measure, 30°, is written to the left of the arc. The angle above the right angle is also represented by an arc, and its measure, 60°, is written below said arc.

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  8. Set square - Wikipedia

    en.wikipedia.org/wiki/Set_square

    These set squares come in two usual forms, both right triangles: one with 90-45-45 degree angles, the other with 30-60-90 degree angles. Combining the two forms by placing the hypotenuses together will also yield 15° and 75° angles.

  9. Canada's Trudeau returns home after Trump meeting without ...

    www.aol.com/canadas-trudeau-says-had-excellent...

    Canadian Prime Minister Justin Trudeau returned home Saturday after his meeting with Donald Trump without assurances the president-elect will back away from threatened tariffs on all products from ...