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An Interesting Geometric Conservation Property of an Altitude in One Triangle Whose Continuation is Always a Medina, in a Triangle with a Common Vertex

International Journal for Technology in Mathematics Education
Throughout the years of the history of the development of mathematics, starting with the ancient mathematicians, new things were discovered from time to time, which made it a central component of the computerized world, which serves us in many fields, with the young "swimming" in it, and the adults asking: how could we live without it! Even these days,
Moshe Stupel, Yehuda Fisher
exaly   +2 more sources

Concurrency of the altitudes of a triangle

Mathematische Semesterberichte, 2013
This paper presents several different proofs of the fact that the altitudes of a triangle are concurrent. Remarkably 12 proofs are given, using ideas ranging from the simple use of similarity to the use of coordinates. The paper is closed with some remarks that might show ideas to be pursued by a reader that might lead him to more complicated settings.
Hajja, Mowaffaq, Martini, Horst
openaire   +1 more source

Preservice Primary Teachers' Understanding of the Concept of Altitude of a Triangle

Journal of Mathematics Teacher Education, 1999
The way teachers understand mathematics strongly influences their teaching and what their pupils learn. Using Vinner's model of acquisition of mathematical concepts with its distinction of concept image and concept definition as a framework, we analyze concept images, difficulties, and errors related to the concept of altitude of a triangle exhibited ...
Angel Gutiérrez, Adela Jaime
openaire   +1 more source

Triangles from sums of altitudes and sides

Far East Journal of Mathematical Sciences, 1998
We improve the result by Vajaitu which says that sums of sides and corresponding altitude of a triangle are always sides of a triangle.
Čerin, Zvonko, Gianella, Gian Mario
openaire   +2 more sources

Some Inequalities for Altitudes and Other Elements of Triangle

1998
In this paper we give some improvements of geometric inequalities from the recent monograph [1].
Mališa R. Žižović   +1 more
openaire   +1 more source

Measuring the Speed and Altitude of an Aircraft Using Similar Triangles

SIAM Review, 1991
In this note a simple and sometimes practical method is devised with which the average speed and the cruising altitude of an aircraft in flight can be computed from a window seat inside the aircraft. No knowledge of the mechanical structure of the vehicle is assumed.
openaire   +1 more source

Integer Sided Triangles Whose Ratio of Altitude to Base is an Integer

1993
For centuries, mathematicians have been fascinated by the special properties associated with right, acute and obtuse triangles and yet new results continue to arise. See references [1] to [6]. The purpose of this article is twofold. We shall first present some additional interesting facts about triangles.
Charles K. Cook, Gerald E. Bergum
openaire   +1 more source

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