document.write( "Question 446283: The hypotenuse of a right triangle is 4 cm longer than the shortest side and 2 cm longer than the remaining side. Find the dimensions of the triangle.
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Algebra.Com's Answer #307323 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The hypotenuse of a right triangle is 4 cm longer than the shortest side and 2 cm longer than the remaining side. Find the dimensions of the triangle.\r \n" ); document.write( "\n" ); document.write( "--------------------- \n" ); document.write( "Let shortest side be \"x\". \n" ); document.write( "The hypotenuse = \"x+4\" \n" ); document.write( "And 3rd side is \"x-2\". \n" ); document.write( "------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "x^2 + (x-2)^2 = (x+4)^2 \n" ); document.write( "x^2 + x^2-4x+4 = x^2+4x+16 \n" ); document.write( "x^2-8x-12 = 0 \n" ); document.write( "---- \n" ); document.write( "(x-6)(x-2) = 0 \n" ); document.write( "----- \n" ); document.write( "x = 6 or x = 2 \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |