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In mathematics, the pythagorean theorem or pythagoras's theorem is a fundamental relation in euclidean geometry between the three sides of a right triangle In any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides

PPT - The Pythagorean Theorem Only works for right triangles PowerPoint

[1] the theorem can be written as an equation relating the. The square of the hypotenuse is equal to There is a pythagorean theorem that actually works for every triangle

Its just that for right triangles it can be simplified to a2+b2=c2 due to the properties of cosines

The picture below shows the formula for the pythagorean theorem For the purposes of the formula, side $$ \overline {c}$$ is always the hypotenuse Remember that this formula only applies to right triangles. The pythagorean theorem, which applies specifically to right triangles, states that the square of the hypotenuse equals the sum of the squares of the two legs

This theorem helps us find missing side lengths in right triangles and is the foundation for many geometric calculations. It is the pythagorean theorem and can be written in one short equation A 2 + b 2 = c 2 note C is the longest side of the triangle a and b are the other two sides definition the longest side of the triangle is called the hypotenuse, so the formal definition is

In a right angled triangle