document.write( "Question 1138874: Given that 2 triangles ABC and DEF are similar, find the missing sides.\r
\n" ); document.write( "\n" ); document.write( "Triangle ABC, Point A to B is 3, Point B to C is 5 and Point A to C is 7\r
\n" ); document.write( "\n" ); document.write( "Triangle DEF, Point D to E is 6, Point E to F is unknown and Point D to F is unknown.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The notes are confusing and my teacher didn't help much. Just confused me more. Anything will help. Thanks! \n" ); document.write( "

Algebra.Com's Answer #756633 by ikleyn(52781) $\"\"$ $\"About$

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

\r\n" );
document.write( "If triangles are similar, then their corresponding side lengths are proportional.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In triangle ABC, the sides are AB, BC and AC.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In triangle DEF, the corresponding sides are DE, EF and DF.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You are given  |AB| = 3 (the length of AB), |BC| = 5  and |AC| = 7.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "               |DE| = 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They want you find |EF| and |DF|.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For |EF|, you have this proportion\r\n" );
document.write( "\r\n" );
document.write( "     = ,   or    = ,\r\n" );
document.write( "\r\n" );
document.write( "which implies  |EF|  =  =  = 10.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For |DF|, you have this proportion\r\n" );
document.write( "\r\n" );
document.write( "     = ,   or    = ,\r\n" );
document.write( "\r\n" );
document.write( "which implies  |EF|  =  =  = 14.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved. The solution is completed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    Since the corresponding side DE of the triangle DEF is twice the side AB of the triangle ABC, you may conclude from similarity\r\n" );
document.write( "\r\n" );
document.write( "    that all other sides of the triangle DEF are twice the corresponding sides of the triangle ABC, and complete the solution with it.\r\n" );
document.write( "\r\n" );
document.write( "    It would be using the same proportions without pronouncing this term.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Is everything clear to you ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If not, then let me know.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    If you will post your question/questions to me, then please refer to the ID number of this problem, which is 1138874.\r\n" );
document.write( "\r\n" );
document.write( "    (Otherwise, I will not know to whom to answer).\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Happy learning !\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );