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Pythagorean theorem

a² + b² = c² in a right triangle, and where it comes from.

In a right triangle the square built on the hypotenuse has the same area as the two squares on the legs put together. That single fact gives the distance formula, the equation of a circle, and half of trigonometry.

Beispiel: hypotenuse of 3 and 4

Hypotenuse of 3 and 4

3,\ 4

Schritt für Schritt

  1. c^2 = a^2 + b^2 = 3^2 + 4^2 = 25

    Pythagoras: in a right triangle the square on the hypotenuse equals the sum of the squares on the legs.

  2. c = \sqrt{25} = 5

    Take the square root.

Die Antwort aufzeigen
c = 5

Versuch es selbst.

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