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Anil Saigal 11/24/2008 FOR STUDENTS PROBLEM # 1 FOR GROWNUPS PROBLEM #2
 Please send your solutions to anil@lokvani.com.
 Problem Solutions 11/13/08PROBLEM # 1 A circle passes through the three vertices of an isoceles triangle that has two sides of length 3 and abase of length 2. Find the area of this circle? Solution: 7.95 sq. in. PROBLEM # 2 Note that (2^{0.5}1)^{1} = 2^{0.5}  1^{0.5} and that (2^{0.5}1)^{2} = 2  2 x 2^{0.5} + 1 = 9^{0.5}  8^{0.5}. Prove that for all positive integral values of n there exists an integral value of m such that
(2^{0.5}1)^{n} = m^{0.5}  (m1)^{0.5}. Solution: Congratulations to Sitaram Chandawarkar and Shailesh Goregaokar, who were winners of the last set of puzzles. You may also access this article through our website http://www.lokvani.com/ 
 
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