document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181239>Question 1181239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On square ABCD, E is the midpoint of side AB.<BR>\n" );
document.write( "Diagonal AC intersects segment ED at X. Find the<BR>\n" );
document.write( "length of segment EX if AB 6cm. </SPAN>\n" );
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document.write( "Draw a sketch of the figure.<br><BR>\n" );
document.write( "DE and AC are transversals that cut parallel segments AB and CD, so the angles of triangle AXE are congruent to the angles of triangle CXD.<BR>\n" );
document.write( "That makes triangles AXE and CXD similar; since AE=3 and CD=6, the ratio of similarity is 1:2.<BR>\n" );
document.write( "That means the ratio of EX to DX is 1:2; and that means EX is 1/3 of DE.<br><BR>\n" );
document.write( "Use the Pythagorean Theorem on triangle ADE to find the length of DE and thus find the length of EX.<br><BR>\n" );
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