User:ShamillaBirring

Hi, my name is Shamilla and I am a first year student here at UBC.

Pythagorean theorem: The pythagorean theorem expresses the relationship between the three sides of a right triangle, it is named after the Greek mathematician Pythagoras. The relationship found is that the area of the two squares of the lines adjacent to the right angle will be equal to the area of the square opposite from the right angle, also referred to as the hypotenuse. This relationship can be represented by the formula $a^{2}+b^{2}=c^{2}$. In this equation a and b represent the length of the lines adjacent to the right angle, and c represents the length of the hypotenuse. Therefore, using this formula one can find any of the lengths of either sides of a right triangle. There are several proofs that validate the formula which include algebraic proofs, proofs using similar triangles and proofs using differentials. The theorem is utilized in several situations such as in determining the distance between two sites, as well as in architecture and research. [[1]]