Mastering Right Triangles: The Pythagorean Theorem, Trigonometric Functions, And Special Ratios

right triangle

A triangle that has a 90 degree angle.

A right triangle is a type of triangle that has one angle that measures 90 degrees, which is also known as a right angle. The other two angles of a right triangle are acute angles, which means they both measure less than 90 degrees.

The side opposite the right angle in a right triangle is called the hypotenuse, and it is the longest side in the triangle. The other two sides are called the legs of the triangle.

The Pythagorean theorem is a formula that is commonly used to find the length of one side of a right triangle when the lengths of the other two sides are known. The formula is:

a² + b² = c²

Where:
– a and b are the lengths of the legs of the triangle
– c is the length of the hypotenuse of the triangle

In addition to the Pythagorean theorem, there are several other important concepts and formulas related to right triangles. These include trigonometric functions, such as sine, cosine, and tangent, as well as the special right triangles, which have specific ratios of their sides that make their calculations easier.

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