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Proof Without Words: A Reciprocal Pythagorean Theorem

The author proves visually that if \(a\) and \(b\) are the legs and h the altitude to the hypotenuse \(c\) of a right triangle, then \((1/a)^2 + (1/b)^2 = (1/h)^2\).
Old Node ID: 
3756
MSC Codes: 
97G40
Author(s): 
Roger B Nelsen (Lewis and Clark College)
Publication Date: 
Friday, September 2, 2011
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 2009
Subject(s): 
Triangles
Plane Geometry
Geometry and Topology
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
132.00
Rating Sum: 
400.00
Rating Average: 
3.03
Applicable Course(s): 
4.9 Geometry
Modify Date: 
Friday, September 2, 2011
Average: 3.1 (132 votes)

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