Geometry Problem 1608: Right Triangle Area from Incircle Tangent Segments and Hypotenuse Perpendiculars

Challenging Geometry Problem 1608. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

Gain comprehensive insights! Click below to reveal the complete details.

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Geometric Art of Lunes of Hippocrates 1, Lunes of Alhazen: Circle Areas and Right Triangle

Computer, Tablet, iPad Apps, Software.

Details: Click the figure below.

Zoom

Geometry Problem 1335: the Lune of Hippocrates has the same area of a Kite

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

This entry contributed by Markus Heisss, Wurzburg, Bavaria.

Details: Click on the figure below..

Zoom

Lune of Hippocrates Index

Hippocrates of Chios (c.470 BC - c.410 BC) was a Greek mathematician who worked on the classical problems of squaring the circle and duplicating the cube.



Continue reading at:
gogeometry.com/geometry/lune_hippocrates_quadrature_index.html