document.write( "Question 1004129: The Right Right Triangle\r
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document.write( "What is the largest right triangle with integer length sides (in inches) whose perimeter (measured in inches) has the same numerical value as its area (measured in square inches)? \n" );
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Algebra.Com's Answer #620673 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the legs a and b. \n" ); document.write( "The area is \n" ); document.write( "A = (1/2)ab \n" ); document.write( "The perimeter is \n" ); document.write( "P = a + b + sqrt(a^2 + b^2) \n" ); document.write( "so that we need to solve \n" ); document.write( "a + b + sqrt(a^2 + b^2) = (1/2)ab \n" ); document.write( "sqrt(a^2 + b^2) = (1/2)ab - a - b \n" ); document.write( "This might be very tricky to solve... \n" ); document.write( "I tried some values and found 5, 12, and 13 work. \n" ); document.write( " \n" ); document.write( " |