Proposed Problem

Click the figure below to see the complete problem 295 about Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular, Diameter.

See also:

Complete Problem 295

Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

## Sunday, May 31, 2009

### Problem 295: Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular

Labels:
arbelo,
Archimedean Twins,
circle,
harmonic mean,
perpendicular,
radius,
semicircle,
tangent

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By pyth thm,

ReplyDelete(a-y)^2+((a+b-y)^2-(a+b-(2a-y))^2)=(a+y)^2

Solving for y, we can get the result.

Similar method to find x.