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Miloslav Ciz 2025-03-25 00:54:31 +01:00
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triangle.md
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@ -32,7 +32,7 @@ Some basic facts, features and equations regarding triangles are following (bewa
- **[area](area.md)**:
- general triangle: *a * altitude(a) / 2*
- right triangle: *a * b / 2*
- **[Pythagorean theorem](pythagorean_theorem.md)**: For the lengths of the sides of a RIGHT triangle (i.e. one angle is 90 degrees) it always holds that *a^2 + b^2 = c^2*. This is extremely important and can be used to determine unknown side lengths of right triangles.
- **[Pythagorean theorem](pythagorean_theorem.md)**: For the lengths of the sides of a RIGHT triangle (i.e. one angle is 90 degrees) it always holds that *a^2 + b^2 = c^2*. This is extremely important and can be used to determine unknown side lengths of right triangles. This is also used to compute a [distance](distance.md) between two points.
- **[Thales's theorem](thales_theorem.md)**: Take a circle on which all points *A*, *B* and *C* lie; if the line *AB* is the circle's diameter, then the triangle is right triangle and *AB* is its hypotenuse.
- **Triangle inequality**: Sum of any two side lengths can't be greater than the length of the third side, i.e. *a + b <= c*. That means that e.g. a triangle with side lengths 1, 2 and 4 can't exist because 1 + 4 > 2. If one side of a triangle is exactly the sum of the other two, the triangle is called **degenerate**, its vertices lie on the same line and it is completely "squashed".
- **Law of sines**: *a / sin(alpha) = b / sin(beta) = c / sin(gamma)*