document.write( "Question 1106989: The lengths of the sides of a right angled triangle are x+1, x and 4 cm respectively. Find x if x+1> x > 4 \n" ); document.write( "

Algebra.Com's Answer #721997 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Pythagoras says:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    4^2 + x^2 = (x+1)^2\r\n" );
document.write( "\r\n" );
document.write( "    16 + x^2 = x^2 + 2x + 1\r\n" );
document.write( "\r\n" );
document.write( "    16 = 2x + 1\r\n" );
document.write( "\r\n" );
document.write( "    2x = 16-1 =  15  ====>  x =  = 7.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  x = 7.5,  and the sides of the triangle are  4, 7.5 and 8.5  cm.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "It is well known (8,15,17) Pythagorean right-angled triangle.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );