equilateral triangle
A triangle with all equal sides
An equilateral triangle is a triangle with all three sides of equal length and all three angles of equal measures. In other words, equilateral means equal in length. This special type of triangle also has some unique properties:
1. The angles of an equilateral triangle are all 60 degrees.
2. The altitude, or height, of an equilateral triangle is equal to the square root of 3 times the length of one of its sides.
3. The area of an equilateral triangle is given by the formula A = (s^2 * √3) / 4, where s is the length of one of its sides.
Equilateral triangles are found in nature (such as honeycombs) and in man-made structures (such as trusses). They are also important in mathematics and geometry, as they serve as the basis for trigonometry and are used in many proofs and constructions.
Overall, the equilateral triangle is a fundamental shape in geometry, with unique properties that make it a useful and interesting shape to study.
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