Mathematical Facts About The Right Angle

A right angle is the angle formed between two lines that go across perpendicularly. A right angle is also symbolized by the words 90 degrees, 100 grad, (also called grade, gradian, or gon), a one fourth turn, 8 points (of a 32-point compass rose), Pi/2 radians, or maybe 6 hours (of an astronomical hour angle.)

The right angle was first defined as a concept by the ancient Greeks, and in particular by Euclid. The right angle was essential in Euclid's Elements. He defined the right angle in Book 1, definition 10 wherein he also described perpendicular lines. It was Euclid who defined the concept of the obtuse angle (angle greater than a right angle) and the acute angle (angle much less than a right angle) in definitions 11 and 12. A right angle is an important theory in constructing as well as carpentry and from ancient history masons and also carpenters have employed the simple rule of 3, 4, 5 or the Pythagorean triple to check a genuine right angle. That is when if the two short sides are 3 units and also 4 units respectively, the long side the hypotenuse would be 5 units if the corner is a real right angle. The Pythagorean triple relies on the Pythagoras Theory which says "The square of the hypotenuse of a right angle triangle is comparable to the sum of the squares of the two adjacent sides"

The phrase right angle in English comes from the Latin angulus rectus; wherein rectus signifies "upright", in relation to upright line perpendicular to the horizontal base line.

The phrase right angle is oftentimes utilized to mean the correct viewpoint, that could be apparently unrelated to the mathematical theory, but yet could stem from ancient carpenters who prided themselves in their joints being exactly a right angle or maybe "true".

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