Right-angled triangle

A right-angled triangle is a three-sided shape (triangle) where one of the angles measures exactly 90 degrees, forming a perfect corner, like the angle of a book or a corner of a room. The side opposite this right angle is the longest side, known as the hypotenuse, while the other two sides are called the legs. Right-angled triangles are significant in various fields, including architecture and engineering, and they are fundamental in geometry, especially in the Pythagorean theorem, which relates the lengths of the sides. They serve as a foundation for understanding trigonometry as well.