Pythagorean theorem

n. The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse.

Pythag′ore′an the′orem

n. the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. [1905–10]

Py·thag·o·re·an theorem

(pĭ-thăg′ə-rē′ən) A theorem stating that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c² = a² + b², where c is the length of the hypotenuse and a and b the lengths of the other two sides.

Pythagorean Theorem

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

Pythagoras's Theorem

单词	pythagorean theorem
释义	Pythagorean theorem Pythagorean theoremThe Pythagorean theorem is a2 + b2 = c2. Pythagorean theorem n. The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse. Pythag′ore′an the′orem n. the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. [1905–10] Py·thag·o·re·an theorem (pĭ-thăg′ə-rē′ən) A theorem stating that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c² = a² + b², where c is the length of the hypotenuse and a and b the lengths of the other two sides. Pythagorean Theorem 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 Pythagoras's Theorem AcronymsSeepatient
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