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273:, which allows the computation of the length of the third side of any triangle, given the lengths of two sides and the size of the angles between them. If the angle between the sides is a right angle it reduces to the Pythagorean theorem.
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This equation provides a simple relation among the three sides of a right triangle so that if the lengths of any two sides are known, the length of the third side can be found. A generalization of this theorem is the
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123:(the side of a right triangle opposite the right angle) is equal to the sum of areas of the squares whose sides are the two legs (i.e. the two sides other than the hypotenuse).
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A mathematical picture paints a thousand words: the
Pythagorean theorem made obvious.
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be the lengths of the other two sides, the theorem can be expressed as the equation
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258:{\displaystyle {\sqrt {a^{2}+b^{2}}}=c.\,}
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90:Pythagoras' theorem
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58:Article of the week
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119:whose side is the
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128:If we let
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178:=
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