Relations between Various Magnitudes Which Serve as Signs of a Right-angled Triangle
Moshe Stupel *
"Gordon” and “Shaanan”-Academic College, Haifa, Israel and “Shaanan”-Academic college, Haifa, Israel.
Avi Sigler
“Shaanan”-Academic college, Haifa, Israel.
*Author to whom correspondence should be addressed.
Abstract
We present a proven scheme of 15 relations between the sides of a triangle, the radii of incircles and excircles of the triangle, the area and half the perimeter of the triangle, which serve as signs of a right-angled triangle, together with the 16th relation which is the Pythagorean Theorem. The relations are investigated dynamically using the computerized software.
Keywords: Relations between magnitudes in a right-angled triangle, dynamic investigation in a right-angled triangle.