document.write( "Question 1009101: Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.\r
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document.write( "What is the smallest possible whole-number length of the unknown side?
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Algebra.Com's Answer #624656 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! It has to be the next largest integer greater than the Pythagorean distance of legs 10 and 15... \n" ); document.write( "c^2 = a^2 + b^2 = 15^2 + 10^2 = 225 + 100 = 325 \n" ); document.write( "Since c is the largest side, and the triangle is obtuse, c must be opposite the obtuse angle. \n" ); document.write( "The square root of 325 is a touch over 18, so the answer must be \n" ); document.write( "19 inches. \n" ); document.write( " |