MathDB
Constructing circles

Source: 1959 AHSME Problem 41

August 14, 2013
AMCcirclesgeometryAMC 12

Problem Statement

On the same side of a straight line three circles are drawn as follows: a circle with a radius of 44 inches is tangent to the line, the other two circles are equal, and each is tangent to the line and to the other two circles. The radius of the equal circles is: <spanclass=latexbold>(A)</span> 24<spanclass=latexbold>(B)</span> 20<spanclass=latexbold>(C)</span> 18<spanclass=latexbold>(D)</span> 16<spanclass=latexbold>(E)</span> 12 <span class='latex-bold'>(A)</span>\ 24 \qquad<span class='latex-bold'>(B)</span>\ 20\qquad<span class='latex-bold'>(C)</span>\ 18\qquad<span class='latex-bold'>(D)</span>\ 16\qquad<span class='latex-bold'>(E)</span>\ 12