Open AccessCalculations for one illustration of the Pythagorean Theorem
Author(s) -
Anatolii A. Korenovskyi
Publication year - 2020
Publication title -
l.n. gumilev atyndaġy euraziâ u̇lttyk̦ universitetìnìn̦ habaršysy. matematika, informatika, mehanika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-1326
pISSN - 2616-7182
DOI - 10.32523/2616-7182/2020-133-4-40-53
Subject(s) - isosceles triangle , pythagorean theorem , line (geometry) , plane (geometry) , mathematics , geometry , combinatorics , pythagorean triple
On the sides of a right-angled isosceles triangle, squares external to this triangle are built. The task is to construct a straight line on a plane that divides a figure consisting of these three squares into two equal-sized (that is, equal area) figures. Some parameters determined by this line are calculated, in particular, the areas of parts of the original squares in half-planes. The corresponding results are illustrated by various drawings, tables and graphs.