Pythagorean Theorem Definition Simple

Pythagorean theorem definition, 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. It is called pythagoras' theorem and can be written in one short equation: The pythagorean theorem tells us that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides.

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The definition of a right triangle:

Pythagorean theorem definition simple. The pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the two shorter sides, called the legs. It is the triangle with one of its angles as a right angle, that is, 90 degrees. The two sides next to the right angle are called the legs and the other side is called the hypotenuse.

Where a, b, and c are the lengths of the sides of the triangle (see the picture) and c is the side opposite the right angle. The hypotenuse is the side opposite to the right angle, and it is always the longest side. The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

For the purposes of the formula, side $$ \overline{c}$$ is always the hypotenuse.remember that this formula only applies to right triangles. It can also be called the pythagorean theorem. There are many proofs of this theorem, some graphical in nature and others using algebra.

See a graphical proof of the pythagorean theorem for one such proof. In mathematics, the pythagorean theorem — or pythagoras' theorem — is a relation in euclidean geometry among the three sides of a right triangle. Before showing how to generate pythagorean triples, let us lay down a definition.

Although pythagoras' name is attached to this theorem, it was actually known centuries before his time by the babylonians. The formula and proof of this theorem are explained here with examples. The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other…

Here, a and b are the lengths of the legs and c is the length of the hypotenuse. The pythagorean theorem helps us to figure out the length of the sides of a right triangle. It can deal with square root values and provides the calculation steps, area, perimeter, height, and angles of the triangle.