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Right Triangle
Right triangle calculations
How It Works
A right triangle is a type of triangle that has one angle that measures 90°. The side opposite the right angle is the hypotenuse, which is the longest side. Right triangles form the basis of trigonometry.
A right triangle has one 90° angle. The side opposite the 90° angle is called the hypotenuse, which is the longest side of the triangle. The sides and angles of right triangles form the basis of trigonometry. The altitude from the right angle to the hypotenuse divides the triangle into two smaller, similar triangles that are also similar to the original triangle.
A Pythagorean triangle has integer side lengths known as a Pythagorean triple (e.g., 3-4-5, 5-12-13, 8-15-17). Special right triangles have fixed side ratios: 30°-60°-90° triangles follow a ratio of 1:√3:2, and 45°-45°-90° (isosceles right) triangles follow a ratio of 1:1:√2. Knowing any one side of a special right triangle determines the lengths of all the other sides.
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