document.write( "Question 462822: Rony walks 9 km due east and the 12 km bue south. How far is she from the starting point?
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document.write( "A)18 b)15 c)20 d)12 \n" );
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Algebra.Com's Answer #317198 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Rony walks 9 km due east and the 12 km bue south. How far is she from the starting point?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A right triangle is formed with legs of 9 and 12. \n" ); document.write( "The hypotenuse {side across from the right angle} is the distance from the starting point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pythagorean Theorem \n" ); document.write( "a² + b² = c² {a and b are the legs, c is the hypotenuse}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9² + 12² = c² {substituted into the pythagorean theorem} \n" ); document.write( "81 + 144 = c² {squared the 9 and the 12} \n" ); document.write( "225 = c² {combined like terms} \n" ); document.write( "c = 15 {took the square root of both sides}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 km from the starting point \n" ); document.write( "www.algebrahouse.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |