right angle

A right angle is a fundamental concept in geometry, representing an angle of exactly 90 degrees, or (\frac{1}{2}\pi) radians. This angle is formed when two lines are perpendicular to each other. Right angles are crucial in defining shapes like squares, which have four equal sides and four right angles. In triangles, a right angle defines a "right triangle," where the two sides forming the 90-degree angle are called legs, and the side opposite the right angle is the hypotenuse. The Pythagorean theorem, (a^2 + b^2 = c^2), specifically relates the lengths of the sides in a right triangle. Tools called squares are used to measure and ensure the accuracy of right angles in various trades.1234