A right triangle and its hypotenuse, h, along with catheti, c₁ and c₂.

The hypotenuse of a right triangle is the triangle's longest side; the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the two other sides. Image File history File links This is a lossless scalable vector image. ... A right-angled triangle where a and b are the catheti and c is the hypotenuse. ... A triangle. ... In mathematics, the Pythagorean theorem (AmE) or Pythagoras theorem (BrE) is a relation in Euclidean geometry among the three sides of a right triangle. ... In algebra, the square of a number is that number multiplied by itself. ...

For example, if one of the other sides has a length of 3 metres (when squared, 9 m²) and the other has a length of 4 m (when squared, 16 m²). Their squares add up to 25 m². The length of the hypotenuse is the square root of this, or 5 m. In mathematics, a square root of a number x is a number r such that , or in words, a number r whose square (the result of multiplying the number by itself) is x. ...

See also

• Cathetus
• Triangle geometry
• Space diagonal
• Taxicab geometry
• Trigonometry

A right-angled triangle where a and b are the catheti and c is the hypotenuse. ... A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments. ... In a magic cube, the four space diagonals are the lines that go from a corner of the cube, through the center of the cube , to the opposite corner. ... Manhattan versus Euclidean distance: The red, blue, and yellow lines representing the Manhattan distance all have the same length (12), whereas the green line representing the Euclidian distance has length 6×√2 â‰ˆ 8. ... Wikibooks has a book on the topic of Trigonometry All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Trigonometry (from Greek trigōnon triangle + metron measure[1]), informally called trig, is a branch of mathematics that deals with...

References

• Eric W. Weisstein, Hypotenuse at MathWorld.