TY  - JOUR
T1  - Pythagorean Proposition and Geometric Demonstration: The Sum of Squares of
Catheti is Equal to the Square of the Hypotenuse
AU - E. Hoyos, Fredy AU - A. Daz Ledesma, Rafael AU - Vergara Perez, Dario 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 23
SP  - 8851
EP  - 8854
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.8851.8854
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.8851.8854
KW  - Pythagorean theorem
KW  -circumference
KW  -triangles
KW  -square
KW  -congruence
KW  -contribution of geometry
AB  - This study arose from the need to provide known elements that allow to more easily reason about
the importance and contribution of geometry in the solution of the Pythagorean proposal, assigned to squares
of catheti and the square of the hypotenuse in a triangle rectangle. For this, we take a circle inscribed in a
quadrilateral whose middle points form a square inscribed in the circle and diagonals of this second square form
four isosceles triangles, one of these is taken to demonstrate by construction a particular case (isosceles right
triangle) the Pythagorean proposition or theorem.
ER  -