MathDB

21

Part of 2005 National Olympiad First Round

Problems(1)

P21 [Geometry] - Turkish NMO 1st Round - 2005

Source:

10/26/2013
What is the radius of the circle passing through the center of the square ABCDABCD with side length 11, its corner AA, and midpoint of its side [BC][BC]?
<spanclass=′latex−bold′>(A)</span> 34<spanclass=′latex−bold′>(B)</span> 54<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> 104 <span class='latex-bold'>(A)</span>\ \dfrac {\sqrt 3}4 \qquad<span class='latex-bold'>(B)</span>\ \dfrac {\sqrt 5}4 \qquad<span class='latex-bold'>(C)</span>\ \sqrt 2 \qquad<span class='latex-bold'>(D)</span>\ \sqrt 3 \qquad<span class='latex-bold'>(E)</span>\ \dfrac {\sqrt {10}}4
geometrycircumcircle