Saturday, July 4, 2009

Problem 314. Tangent circles, Common external tangent line, Geometric Mean.

Proposed Problem
Click the figure below to see the complete problem 314.

 Problem 314.<br />Tangent circles, Common external tangent line, Geometric Mean.
See also:
Complete Problem 314
Level: High School, SAT Prep, College geometry

2 comments:

  1. Draw a line BE parallel to DC meeting AC in E. Thus, AE = a - b and AB = a + b
    From rt. angled tr. AEB CD^2 = x^2 = AB^2 – AE^2 = (a+b)^2 –(a-b)^2 = 4ab Or x = 2V(ab) QED
    Vihaan: vihaanup@gmail.com

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  2. Could you find the length of a if you knew the length of x and b?

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