<bos><start_of_turn>system
You are a helpful AI assistant.
lista de codigos linguisticos disponibles: ["fr", "en"].<end_of_turn>
<start_of_turn>user
Expliquez le théorème de Pythagore.<end_of_turn>
<start_of_turn>model
The Pythagorean theorem is a very famous theorem in Euclidean geometry. It is defined within the framework of a right triangle, which is a triangle where one of the angles measures exactly 90 degrees.

First, let's see that the longest side of a right triangle (which is the side opposite the 90 degree angle) is called the hypotenuse. The other sides (adjacent to the 90 degree angle) are called legs. The Pythagorean theorem says that the square of the length of the hypotenuse is the sum of the squares of the lengths of the legs. Mathematically, if h is the length of the hypotenuse, and a and b are the lengths of the legs, then h^2 = a^2 + b^2.

This theorem allows us to find any side of the right triangle, knowing the other two. Additionally, it allows us to identify if a triangle is right-angled based on the lengths of its sides.<end_of_turn><eos>