document.write( "Question 1107724: A quadrilateral has sides 6 cm,10 cm,18 cm, and a cm. A quadrilateral similar to this, the corresponding sides are b,c, 36 cm, and 48 cm. Find a,b, and c.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #722737 by Edwin McCravy(20065) $\"\"$ $\"About$

You can put this solution on YOUR website!

Since \r\n" );
document.write( "\r\n" );
document.write( "1. the 18 cm. side of the first quadrilateral corresponds to the\r\n" );
document.write( "   36 cm. side of the second quadrilateral.\r\n" );
document.write( "\r\n" );
document.write( "2. the quadrilaterals are similar.\r\n" );
document.write( "\r\n" );
document.write( "3. 18 cm is one-half of 36 cm and 36 cm is twice 18 cm,\r\n" );
document.write( "\r\n" );
document.write( "therefore\r\n" );
document.write( "\r\n" );
document.write( "every side of the first quadrilateral is half the side of the\r\n" );
document.write( "corresponding side of the second quadrilateral.\r\n" );
document.write( "\r\n" );
document.write( "and\r\n" );
document.write( "\r\n" );
document.write( "every side of the second quadrilateral is twice the side of the\r\n" );
document.write( "corresponding side of the first quadrilateral.\r\n" );
document.write( "\r\n" );
document.write( "So:\r\n" );
document.write( "\r\n" );
document.write( "I. The side of the second quadrilateral that measures b cm. corresponds \r\n" );
document.write( "to the side of the first quadrilateral that measures 6 cm., so b is\r\n" );
document.write( "twice 6 cm. or 12 cm.   Answer: b = 12.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "II. The side of the second quadrilateral that measures c cm. corresponds \r\n" );
document.write( "to the side of the first quadrilateral that measures 10 cm., so c is\r\n" );
document.write( "twice 10 cm. or 20 cm.   Answer: c = 20.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "III. The side of the second quadrilateral that measures 48 cm. corresponds \r\n" );
document.write( "to the side of the first quadrilateral that measures a cm., so a is\r\n" );
document.write( "half of 48 cm. or 24 cm.   Answer: a = 24\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );