정삼각형

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위키데이터

• ID : Q157002

말뭉치

1. Below are the 5 different choices of calculations you can make with this equilateral triangle calculator.
2. Height of the equilateral triangle is splitting the equilateral triangle into two right triangles.
3. The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional plane.
4. To recall, an equilateral triangle is a triangle in which all the sides are equal and the measure of all the internal angles is 60°.
5. Take an equilateral triangle of the side “a” units.
6. So for example, if you have an equilateral triangle where each of the sides was 1, then its area would be square root of 3 over 4.
7. If you had an equilateral triangle where each of the sides were 2, then this would be 2 squared over 4, which is just 1.
8. So we just found out a generalizable way to figure out the area of an equilateral triangle.
9. Now, the side of the original equilateral triangle (lets call it "a") is the hypotenuse of the 30-60-90 triangle.
10. As we have already discussed in the introduction, an equilateral triangle is a triangle that has all its sides equal in length.
11. The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves.
12. The area of an equilateral triangle is the region occupied by it in a two-dimensional plane.
13. The height or altitude of an equilateral triangle can be determined using the Pythagoras theorem.
14. To construct an equilateral triangle we can use the regular polygon tool and construct a three sided regular polygon.
15. Another way to construct an equilateral triangle with circles.
16. Using the angle measure tool and distance tool to show that all of the measures of the angles and side lengths are equal and therefore it is an equilateral triangle.
17. We can also construct an equilateral triangle from a hexagon.
18. Notice it always remains an equilateral triangle.
19. The area of an equilateral triangle can be calculated in the usual way, but in this special case of an equilateral triangle, it is also given by the formula: where S is the length of any one side.
20. You can also ask them to measure sides of various triangles they draw and find out if it is an equilateral triangle or not.
21. Every triangle center of an equilateral triangle coincides with its centroid, which implies that the equilateral triangle is the only triangle with no Euler line connecting some of the centers.
22. Nearest distances from point P to sides of equilateral triangle ABC are shown.
23. Pompeiu's theorem states that, if P is an arbitrary point in the plane of an equilateral triangle ABC but not on its circumcircle, then there exists a triangle with sides of lengths PA, PB, and PC.
24. An equilateral triangle is the most symmetrical triangle, having 3 lines of reflection and rotational symmetry of order 3 about its center.
25. An equilateral triangle is drawn so that no point of the triangle lies outside A B C D ABCD ABCD.
26. An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.
27. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.
28. The resulting figure is then an equilateral triangle.
29. Then the resulting triangle approaches an equilateral triangle.
30. Recall from above that an equilateral triangle is also an isosceles triangle.
31. Altitude CD divides equilateral triangle △ABC into two 30°-60°-90° triangles.
32. An equilateral triangle is easily constructed using a compass and straightedge, as 3 is a Fermat prime.
33. We later knew that the small isosceles triangle and small equilateral triangle when halved had the same area in each half.
34. We will be doing THREE constructions of an equilateral triangle.
35. The first will be to construct an equilateral triangle given the length of one side, and the other two will be to construct an equilateral triangle inscribed in a circle.
36. Construct: an equilateral triangle inscribed in a circle.
37. Draw segments from A to B, B to C and C to A, to form the equilateral triangle.
38. The picture above shows an equilateral triangle, with lines drawn between various midpoints.
39. Consider the following equilateral triangle ABC whose side length is a units.
40. An equilateral triangle is a triangle whose all three sides are having the same length.
41. Hence, we can see that the equilateral triangle is the unique polygon for which by knowing only one side length one can determine the full structure of the polygon.
42. Let one side length of the equilateral triangle is “a” units.
43. It turns out that the impact of that slope being rational is that it makes a 60 degree angle, with these conditions, impossible, and so no equilateral triangle exists satisfying these constraints.
44. Students will need to either know or be able to calculate the length of the altitude of an equilateral triangle or know the sine and cosine of a 60 degree angle.
45. The perimeter of an equilateral triangle measures 0.9 dm and its height is 25.95 cm.
46. Calculate the side of an equilateral triangle inscribed in a circle of 10 cm radius.
47. Remove the middle part, duplicate it and replace the two parts in the middle such that the middle part forms an equilateral triangle open at the bottom, as in the first drawing in Figure 5.9.
48. This process of successive slices is the same as starting with an equilateral triangle of length l and copying over in each of its corners a smaller copy half the length of the same triangle.
49. I struggled for a while but then, out of nothing, it hit me—the equilateral triangle.
50. And so we come to what I call The Equilateral Triangle of a Perfect Paragraph.
51. That’s why an equilateral triangle is a perfect representation of a well-designed paragraph of text.
52. An equilateral triangle is easily constructed using a compass.
53. The altitude (h) of the equilateral triangle (or the height) can be calculated from Pythagorean theorem.
54. The equilateral triangle has all three sides equal, so its perimeter will be three times the length of one of its sides (a).
55. Because of the regular nature of the equilateral triangle, we can determine many of its quantities from a single known value.
56. An equilateral triangle can be constructed by Trisecting all three Angles of any Triangle (Morley's Theorem).
57. Let any Rectangle be circumscribed about an Equilateral Triangle.

메타데이터

위키데이터

• ID : Q157002

Spacy 패턴 목록

• [{'LOWER': 'equilateral'}, {'LEMMA': 'triangle'}]
• [{'LOWER': 'regular'}, {'LEMMA': 'triangle'}]
• [{'LOWER': 'equiangular'}, {'LEMMA': 'triangle'}]