Quadrilaterals with perpendicular diagonals

Shirali, Shailesh (2017) Quadrilaterals with perpendicular diagonals. At Right Angles, 6 (2). pp. 30-37.

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Abstract

In this article, we study a few properties possessed by any quadrilateral whose diagonals are perpendicular to each other. A four-sided figure possessing such a property is known as an ortho-diagonal quadrilateral. Many special four-sided shapes with which we are familiar have this property: squares, rhombuses (where all four sides have equal length) and kites (where two pairs of adjacent sides have equal lengths). It may come as a surprise to the reader to find that such a simple requirement (diagonals perpendicular to each other) can lead to so many elementary and pleasing properties.

Item Type:	Articles in APF Magazines
Authors:	Shirali, Shailesh
Document Language:	Language English
Uncontrolled Keywords:	Matahmatecis, Quadrilateral, perpendicular, diagonals, ortho-diagonal, cyclic quadrilateral, midpoint parallelogram, midpoint rectangle, midpoint circle, maltitude, eight-point circle, indeterminate
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1340
Publisher URL:	http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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