![]() Law of sines: the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.Where a and b are two sides of a triangle, and c is the hypotenuse, the Pythagorean theorem can be written as: There are also special cases of right triangles, such as the 30° 60° 90, 45° 45° 90°, and 3 4 5 right triangles that facilitate calculations. ![]() It follows that any triangle in which the sides satisfy this condition is a right triangle. For any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the two other sides.
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