Triangles feature in a number of aspects of our daily lives, including mathematics, engineering, architecture, astronomy, and even music.

Triangles feature very frequently in the discipline of mathematics. For example, almost all two dimensional shapes (apart from a circle) can be made up of a series of triangles arranged in a certain way. Furthermore, in the field of mathematics, triangle-related formulae such as Pythagoras' theorem (a^2+b^2=c^2) form the basis of a great deal higher levels of mathematical education, in branches such as trigonometry.

As mentioned above, Pythagoras' theorem is an incredibly important theory. However, its importance goes beyond the field of pure mathematics and spans other fields including engineering and architecture. Disciplines such as these, which focus a great deal upon the safe distribution of weight or force, for example, rely heavily on Pythagoras' theorem, which is entirely concerned with triangles.

Furthermore, many bridges and other similar structures are often designed to include triangle shapes, as these shapes are able to withstand a great amount of pressure (in a similar way to arches). Because of the way that triangles disperse pressure throughout their shape, they are able to withstand more pressure than a differently-shaped object (for example, a square) of the same size.

Principles of trigonometry, or the study of triangles, are used widely in fields such as astronomy, space travel and communication in ways that I, as a non-astronomer, cannot even begin to understand. However, my research suggests that trigonometry plays a role in aspects of astronomy such as deciding how far about the earth a satellite dish should be placed.

Unfortunately, as with the field of astronomy, I cannot begin to understand how trigonometry is featured in music, nor could I explain this to you. However, as a rough guide, trigonometry features in music theory, and can explain some questions surrounding the production of sound itself.

- Triangles in mathematics

Triangles feature very frequently in the discipline of mathematics. For example, almost all two dimensional shapes (apart from a circle) can be made up of a series of triangles arranged in a certain way. Furthermore, in the field of mathematics, triangle-related formulae such as Pythagoras' theorem (a^2+b^2=c^2) form the basis of a great deal higher levels of mathematical education, in branches such as trigonometry.

- Triangles in engineering and architecture

As mentioned above, Pythagoras' theorem is an incredibly important theory. However, its importance goes beyond the field of pure mathematics and spans other fields including engineering and architecture. Disciplines such as these, which focus a great deal upon the safe distribution of weight or force, for example, rely heavily on Pythagoras' theorem, which is entirely concerned with triangles.

Furthermore, many bridges and other similar structures are often designed to include triangle shapes, as these shapes are able to withstand a great amount of pressure (in a similar way to arches). Because of the way that triangles disperse pressure throughout their shape, they are able to withstand more pressure than a differently-shaped object (for example, a square) of the same size.

- Triangles in astronomy

Principles of trigonometry, or the study of triangles, are used widely in fields such as astronomy, space travel and communication in ways that I, as a non-astronomer, cannot even begin to understand. However, my research suggests that trigonometry plays a role in aspects of astronomy such as deciding how far about the earth a satellite dish should be placed.

- Triangles in music

Unfortunately, as with the field of astronomy, I cannot begin to understand how trigonometry is featured in music, nor could I explain this to you. However, as a rough guide, trigonometry features in music theory, and can explain some questions surrounding the production of sound itself.