What is 90 60 30 triangle?

The 90 60 30 triangle is a special right triangle that has angles of 90 degrees, 60 degrees, and 30 degrees. Its sides are in a ratio of 1:√3:2. This means that if the length of one side is x, then the length of the other sides will be x√3 and 2x respectively.

The 90 60 30 triangle is useful in geometry and trigonometry because it can be used to simplify calculations involving angles and sides. For example, if you know the length of one side of the triangle, you can use the ratios to calculate the lengths of the other sides, making it easier to solve problems involving similar triangles or trigonometric ratios.

It is also used in everyday applications such as construction and engineering where precise measurements are required. For instance, the angles of the triangle can be used to find the angle of elevation or depression of an object or the slope of a hill.

Overall, the 90 60 30 triangle is a fundamental shape in mathematics that has many practical uses.