Now we can use Pythagoras to find out the length of the third line which is the hypotenuse of the right triangle.

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This format will always hold true and because of that we can form a formula called the distance formula. The pythagorean theorem can be used to find the diagonal distance in a cube. Since the diagonal distance is the hypotenuse in a right triangle w can use Pythagoras again.

### Pythagoras' theorem

The longest side of the triangle is called the "hypotenuse", so the formal definition is:. In a right angled triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides.

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. But remember it only works on right angled triangles! Then we use algebra to find any missing value, as in these examples:. Edit Mode. Pythagorean theorem. Tips For Editing. You may find it helpful to search within the site to see how similar or related subjects are covered. Any text you add should be original, not copied from other sources.

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## The Pythagorean Theorem (Pre-Algebra, Right triangles and algebra) – Mathplanet

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## The Pythagorean Theorem

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