Q:

# What are the 30-60-90 triangle rules?

A:

A 30-60-90 triangle has interior angles equal to 30, 60 and 90 degrees. This is always a right triangle with the 90-degree angle located opposite the longest side of the triangle and the 30 degree angle located opposite the smallest side. The sides of a 30-60-90 triangle are always in a 1:root 3:2 ratio with each other, where 2 represents the longest side of the triangle.

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Credit: Philippe TURPIN Photononstop Getty Images

The other general rules of triangles apply to the 30-60-90 version. A triangle must be a closed three-sided figure, which is also referred to as a three-sided polygon. The area of the triangle must be equal to half of the product of the base and height and no one side of the triangle can be greater than the sum of the other two. Since this is a right triangle, the Pythagorean theorem applies, with the square of the hypoteneuse equal to the sum of the squares of the remaining sides. The median of a triangle can be found by taking a line from one of the vertices (corners) to the opposite side. If this is done for all three vertices, the point at which the three medians connect is called the centroid of the triangle.

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