Pythagorean Theorem


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Pythagorean theorem

[pə‚thag·ə′rē·ən ′thir·əm]
(mathematics)
In a right triangle the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Pythagorean Theorem

 

a theorem in geometry stating the relationship between the sides of a right triangle. The theorem was evidently known before the time of Pythagoras (sixth century B.C.), but its general proof is ascribed to him. Originally, the theorem stated the relationship between the areas of squares constructed on the hypotenuse and legs of a right triangle: the square on the hypotenuse is equal in area to the sum of the squares on the legs. The customary, more concise, formulation of the Pythagorean theorem is that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs. The converse of the Pythagorean theorem is also true: if the square of one side of a triangle is equal to the sum of the squares of the two other sides, the triangle is a right triangle.

Pythagorean Theorem

References in periodicals archive ?
To prove that such recollection is possible, he calls for a slave and starts to draw geometric figures, giving the slave hints for calculating the length of the hypotenuse of a right triangle, applying the Pythagorean Theorem. The dialogue does not say what Socrates used for drawing, but the dimensions of the figures are given in feet, so it is likely that he used dust they were standing on.
This is really just a variation on the Pythagorean theorem. The big difference is that you must subtract the appropriate axis coordinate for the bridle point (P4) from the same axis coordinate for the three attachment-point coordinates before you square it.
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