document.write( "Question 1131509: The perimeter of a right triangle is 42 and the sum of the squares of its sides is 722. Determine the area of the right triangle. \n" ); document.write( "
Algebra.Com's Answer #748179 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The perimeter of a right triangle is 42 and the sum of the squares of its sides is 722. Determine the area of the right triangle. \n" ); document.write( "----------- \n" ); document.write( "a + b + c = 42 \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "a^2 + b^2 + c^2 = 722 \n" ); document.write( "2c^2 = 722 \n" ); document.write( "c = 19 \n" ); document.write( "========== \n" ); document.write( "a^2 + b^2 = 361 \n" ); document.write( "a + b = 23 \n" ); document.write( "--- \n" ); document.write( "a^2 - 23a + 84 = 0 \n" ); document.write( "a*b = 84 \n" ); document.write( "Area = 42\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |