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)\"\" \"About 
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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.
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\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
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\n" ); document.write( "a^2 + b^2 = 361
\n" ); document.write( "a + b = 23
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\n" ); document.write( "a^2 - 23a + 84 = 0
\n" ); document.write( "a*b = 84
\n" ); document.write( "Area = 42\r
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