# Pythagorean Theorem

Also found in: Dictionary, Acronyms, Wikipedia.

## 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## 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.
Will the Real-World Three toe the party line on scrapping Medicare (Pawlenty already has), collective bargaining, stem-cell research, and the Pythagorean theorem? No such agonizing choices await the Mad Hatter candidates, of course.
"Our offense is like the Pythagorean Theorem. There is no answer."
"I say to myself, 'After they get things cleaned up, after the chaos is under control, if they need to learn a little about the Pythagorean theorem then I'm on it.'"
Vertical dimension of the crack is calculated by the principle of the Pythagorean Theorem. The data used for calculation are the time difference between arriving waves reflected from the upper and lower edge of the crack, velocity of the ultrasound propagation in examined material and the distance between the probes (Kovacik & Hyza, 2010).
The Pythagorean theorem; the story of its power and beauty.
The Pythagorean Theorem: The Story of its Power and Beauty offers high school to college-level collections a fine survey of the best-known equation in math, which every math student studies.
Concepts covered are ratios and proportions, functions, scale, symmetry, Pythagorean theorem, and even sine and cosine functions.
Levi's first case demonstrates how a fish tank with a right-triangular cross-section is a physical system embodying the Pythagorean theorem and also how it implies the law of sines.
Math skills: Both Pythagorean Theorem and trigonometry are necessary for anyone wanting to program machine tools.
By the Pythagorean theorem f(x) = [||x||.sup.2] is a solution of the conditional equation.

Site: Follow: Share:
Open / Close