Pythagorean theorem: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Michael Hardy
(illustration added)
imported>Michael Hardy
(expanded on the statement)
Line 1: Line 1:
[[Image:Pythagorean.png|thumb|420px|'''The Pythagorean theorem''': The sum of the areas of the two squares on the legs (the sides that meet at a [[right angle]]) equals the area of the square on the hypotenuse (the side opposite the right angle).]]
[[Image:Pythagorean.png|thumb|420px|'''The Pythagorean theorem''': The sum of the areas of the two squares on the legs (the sides that meet at a [[right angle]]) equals the area of the square on the hypotenuse (the side opposite the right angle).]]
In [[Euclidean geometry]], the '''Pythagorean theorem''' states that the sum of the areas of the squares on the legs of a [[right triangle]] equals the area of the square on the [[hypotenuse]].
In [[Euclidean geometry]], the '''Pythagorean theorem''' states that:
 
:: The sum of the areas of the squares on the legs of a [[right triangle]] equals the area of the square on the [[hypotenuse]].
 
The "legs" are the two sides of the triangle that meet at a right angle.  The hypotenuse is the other side—the side opposite the right angle.


{{stub}}
{{stub}}

Revision as of 21:07, 15 May 2007

The Pythagorean theorem: The sum of the areas of the two squares on the legs (the sides that meet at a right angle) equals the area of the square on the hypotenuse (the side opposite the right angle).

In Euclidean geometry, the Pythagorean theorem states that:

The sum of the areas of the squares on the legs of a right triangle equals the area of the square on the hypotenuse.

The "legs" are the two sides of the triangle that meet at a right angle. The hypotenuse is the other side—the side opposite the right angle.

Template:Stub