"Triangles" Example Sentences
1. Triangles are one of the simplest and most useful polygons.
2. A triangle has three sides and three angles.
3. The three angles of any triangle add up to 180 degrees.
4. The longest side of a triangle is opposite the largest angle.
5. An equilateral triangle has three sides of equal length.
6. An isosceles triangle has two sides of equal length.
7. A scalene triangle has three sides of unequal length.
8. The three types of triangles based on side lengths are equilateral, isosceles, and scalene.
9. The three types of angles in a triangle are acute, right, and obtuse.
10. The sum of two angles of any triangle is greater than the third angle.
11. Similar triangles have the same angle measures, but different side lengths.
12. Congruent triangles have the same side lengths and angle measures.
13. You can calculate the length of a triangle's sides using the Pythagorean Theorem.
14. The height of a triangle bisects any side and is perpendicular to it.
15. Triangles are used extensively in architecture, engineering and art.
16. The height, base, and area of a triangle are closely related.
17. The altitudes of a triangle are segments drawn from vertices to the opposite sides.
18. Triangles represent stability and structural integrity.
19. Rotating and reflecting triangles reveals their symmetries and congruencies.
20. The incenter of a triangle is the intersection of its angle bisectors.
21. Triangles illustrate the concepts of congruency, similarity and proportionality.
22. You can create new triangles by adding perpendicular bisectors and angle bisectors.
23. The triangle inequality states that any side of a triangle is shorter than the sum of the other two sides.
24. The medians of a triangle are segments that connect the midpoints of sides.
25. The circumcenter of a triangle is where its perpendicular bisectors intersect.
26. Triangles are used in surveying, mapping and navigation.
27. An equiangular triangle has three congruent angles.
28. Triangles make predictable mathematical models.
29. Triangles demonstrate relationships between angles and sides.
30. Classifying triangles helps to understand their properties.
31. Triangles are 3D figures projected onto 2D surfaces.
32. Visualizing cross-sections of 3D solids reveals triangles.
33. Triangles show up everywhere from architecture to crystals.
34. A right triangle always has one right angle.
35. Triangles can be nested within other shapes.
36. You can create triangles from parallel and transversal lines.
37. Triangles exhibit symmetry about the axis of a line of reflection.
38. Logos, icons and patterns often use triangles to convey clarity.
39. Complex polygons deconstruct into simpler triangles.
40. Triangles form the skeletons of polyhedrons and prisms.
41. Right triangles are essential to geometry and trigonometry.
42. Special right triangles have specific ratio relationships.
43. Composite shapes can be made by combining triangles.
44. Triangles represent possibility, choice and action.
45. When scaled up or down, triangle properties remain the same.
46. Triangles have historically represented creation and divinity.
47. Triangles divide the 360-degree circle proportionately.
48. Identifying perpendicular and parallel sides helps calculate triangle properties.
49. Triangles appear at the intersections and vertices of structures.
50. Triangle basics help build geometry knowledge foundations.
51. Triangles demonstrate that the whole is greater than the sum of its parts.
52. The area of a triangle is one-half the base times the height.
53. A circle circumscribed about an equilateral triangle is tangential to its sides.
54. You can "unwrap" 3D models to reveal 2D triangles.
55. Triangle proportions reveal beauty and visual harmony.
56. Triangles serve as templates to draw many complex figures.
57. Deriving formulas deepens understanding of triangle properties.
58. 3D printing creates triangular structural beams and struts.
59. Nesting and weaving triangles creates repeating patterns.
60. Triangles exhibit equivalence and logical reasoning.
Common Phases
1. A triangle has three angles.
2. A triangle has three sides.
3. Similar
triangles are proportional.
4.
Triangles show relationships between sides and angles.
5. The angles of
triangles add up to 180 degrees.
6.
Triangles are the simplest polygons.
7. You can classify
triangles by their sides and angles.
8.
Triangles demonstrate congruency and equivalence.
9. Right
triangles use trigonometric functions.
10.
Triangles form 3D polyhedrons and prisms.