document.write( "Question 926940: The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21 cm. find the lengths of the other two sides of the triangle. \r
\n" );
document.write( "\n" );
document.write( "The answer is 9 and 12, but I don't know how to get it. \r
\n" );
document.write( "\n" );
document.write( "Thanks!! \n" );
document.write( "
Algebra.Com's Answer #562594 by stanbon(75887) ![]() You can put this solution on YOUR website! The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21 cm. find the lengths of the other two sides of the triangle. \n" ); document.write( " The answer is 9 and 12, but I don't know how to get it. \n" ); document.write( "------------ \n" ); document.write( "Sketch a picture of a right triangle with hypo = 15, one side \n" ); document.write( " = x cm; the other side = 21-x cm. \n" ); document.write( "-------------------------- \n" ); document.write( "Equation:: \n" ); document.write( "x^2 + (21-x)^2 = 15^2 \n" ); document.write( "----- \n" ); document.write( "x^2 + 21^2 - 42x + x^2 = 225 \n" ); document.write( "------- \n" ); document.write( "2x^2 - 42x + 21^2-225 = 0 \n" ); document.write( "----- \n" ); document.write( "2x^2 - 42x + 216 = 0 \n" ); document.write( "---- \n" ); document.write( "x^2 - 21x + 108 = 0 \n" ); document.write( "----- \n" ); document.write( "x = 9 ; 21-9 = 12 \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " |