document.write( "Question 442534: The length of one leg of a right triangle is 8 inches. The length of the other leg is 6 inches shorter than the hypotenuse. Find the length of the missing leg and the hypotenuse \n" ); document.write( "
Algebra.Com's Answer #305253 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! Let c represent the hypotenuse in a right triangle. Let a,b be the legs.\r \n" ); document.write( "\n" ); document.write( "Recall a^2 + b^2 = c^2\r \n" ); document.write( "\n" ); document.write( "Let's select a to be 8 inches. \r \n" ); document.write( "\n" ); document.write( "And let's let b = c-6, since b is 6 less than the hypotenuse.\r \n" ); document.write( "\n" ); document.write( "Then:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since b = c-6, then b = 25/3 -6 = 7/3 \r \n" ); document.write( "\n" ); document.write( "Thus we have \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |