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Online Geometry Problem 20: Right triangle, Altitude, Perpendiculars, Inradii, Similarity, Geometric Mean. Sketch, Software.

In triangle ABC, angle B is a right angle. BD is the altitude, DE is perpendicular to AB and DF is perpendicular to BC. a, b, and x are the inradii of the triangles AED, DFC and EDF respectively. Prove that x is the geometric mean of a and b that is: \(x = \sqrt{a \cdot b}\).

 

Right triangle, Altitude, Perpendiculars, Inradii, Geometric Mean
 

 


 


Sketch of problem 20 using iPad Apps.

Sketch of problem 20 using mobile apps. Right triangle, Altitude, Perpendiculars, Inradii, Similarity, Geometric Mean, iPad Apps

 

Art of Geometry Problem 20 using Mobile Apps.

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids. A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers. See also the kaleidoscope of problem 20.

Art of problem 20 using mobile apps, iPad, iPhone

See also:
Problem art 20
Sketch problem 20 art 1

 

Selected Topics

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Art | Problems 11-20 | 1-100 | Circle Tangent Line | Right triangle, Altitude and Incircle | Geometric Mean |  Geometric Art: Mobile AppsEmail | by Antonio Gutierrez
Last updated: May 28, 2019

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