Let be a triangle. If is a right triangle with the right angle at , then Conversely, if , then is a right triangle with the right angle at . This is more commonly stated mathematically: , assuming that is the length of the side opposite the right angle (the hypotenuse).
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| - Pythagorean Theorem
- Pythagorean theorem
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| - Let be a triangle. If is a right triangle with the right angle at , then Conversely, if , then is a right triangle with the right angle at . This is more commonly stated mathematically: , assuming that is the length of the side opposite the right angle (the hypotenuse).
- Pythagoras' Theorem has a wide array of uses in mathematics, usually applied as a crucial step in many geometrical problems. Dozens of proofs have been developed to show this identity, many of which are featured in Wikipedia's article [1].
- The Pythagorean theorem states that in a right triangle, the length of the hypotenuse squared is equal to the sum of the square of the lengths of the other two sides. It was first discovered in ancient China, but made famous by mathematician Pythagoras in ancient Greece, and was a very important equation in the study of geometry. It was often represented by the following equation: where a and b are each the legs of the triangle and c is the hypotenuse.
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| abstract
| - Let be a triangle. If is a right triangle with the right angle at , then Conversely, if , then is a right triangle with the right angle at . This is more commonly stated mathematically: , assuming that is the length of the side opposite the right angle (the hypotenuse).
- The Pythagorean theorem states that in a right triangle, the length of the hypotenuse squared is equal to the sum of the square of the lengths of the other two sides. It was first discovered in ancient China, but made famous by mathematician Pythagoras in ancient Greece, and was a very important equation in the study of geometry. It was often represented by the following equation: where a and b are each the legs of the triangle and c is the hypotenuse. Commander William T. Riker used the theorem to trick the android Lore in 2364. He stated the first part of the theorem and Lore completed it without thinking, revealing that he knew more than he was letting the USS Enterprise-D crew think. (TNG: "Datalore" )
- Pythagoras' Theorem has a wide array of uses in mathematics, usually applied as a crucial step in many geometrical problems. Dozens of proofs have been developed to show this identity, many of which are featured in Wikipedia's article [1].
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