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# What are characteristics of a right triangle?

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### Quick Answer

A right triangle, also known as a right-angled triangle, always has one angle at 90 degrees. The side directly opposite this angle is known as the hypotenuse, which is the longest side of a triangle.

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### Full Answer

If the lengths of two sides of a triangle are known, it is possible to calculate the length of the third side using Pythagoras' theorem. This theorem states that the sum of the square of the hypotenuse is equal to the sum of the squares on the other two sides. This theorem only applies to right triangles.

When a right triangle has sides with lengths that are each an integer, it's called a Pythagorean triangle.

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## Related Questions

• A:

An obtuse triangle is any triangle that has an angle of more than 90 degrees. This differs from an acute triangle, in which all three angles are less than 90 degrees, and a right triangle, in which one angle is exactly 90 degrees.

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• 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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The name of a polygon with three sides is called a triangle. A four-sided polygon is called a quadrilateral, a five-sided polygon is a called a pentagon and a six-sided polygon is called a hexagon.

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The hypotenuse of a right triangle is calculated by finding the square root of the sum of the squares of the triangle's legs. It can be expressed using the formula c = √(a2 + b2), where a and b represent the legs of the triangle and c indicates the hypotenuse.

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