Right-Angle Triangles One of the most important concepts in mathematics is the right-angle triangle. It is a central component of Algebra, Geometry and Trigonometry. So, it is important to fully understand all aspects of the right-angle triangle, especially the Pythagorean Theorem. In the triangle below, angle x is a right angle which equals 90o . Right angles are always 90o and they are often marked with a square to denote that they are right angles. A right angle means that the two sides are perpendicular, like walls and floors, or walls and ceilings (in most cases, if the builders are good!!).  In any right-angle triangle, the longest side, that is, the side opposite the right angle is called the hypotenuse. The Pythagorean Theorem is often expressed as: The square of the hypotenuse is equal to the sum of the squares of the other two sides. In the triangle below that means: c2 = a2 + b2
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