document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169639>Question 169639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Question reads: <BR>\n" );
document.write( "The folling figures are pairs of similar triangles with some dimensions given. Find the measure of the indicated sides. \r<BR>\n" );
document.write( "\n" );
document.write( "(2 triangles, one is inside the other)<BR>\n" );
document.write( "Bigger triangle is ACD<BR>\n" );
document.write( "Smaller triangle is ABE (inside of ACD)\r<BR>\n" );
document.write( "\n" );
document.write( "Angle ACD equal to 90 degrees<BR>\n" );
document.write( "Angle ABE equal to 90 degrees\r<BR>\n" );
document.write( "\n" );
document.write( "Segment AB is equal to 6<BR>\n" );
document.write( "Segment AE is equal to 10\r<BR>\n" );
document.write( "\n" );
document.write( "Segment CD is equal to 14\r<BR>\n" );
document.write( "\n" );
document.write( "Find segment AC, BE, and AD </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125285 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=125285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's draw the pairs of Triangles to have a clearer view:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-2%2C12%2C-2%2C15%2Ctriangle%2810%2C0%2C0%2C0%2C0%2C14%29%2Cred%28line%284%2C0%2C4%2C8.4%29%29%2Ccircle%284%2C8.4%2C.12%29%2Ccircle%284%2C0%2C.12%29%2Ccircle%2810%2C0%2C.12%29%2Clocate%287%2C-.25%2C6%29%2Clocate%287%2C5%2C10%29%2Clocate%28-.85%2C7%2C14%29%2Clocate%2810.5%2C-.25%2CA%29%2Clocate%28-.85%2C0%2CC%29%2Clocate%28-.85%2C14%2CD%29%2Clocate%284%2C9.3%2CE%29%2Clocate%284%2C-.25%2CB%29%2Clocate%284.3%2C1%2C90%5Eo%29%2Clocate%28.3%2C1%2C90%5Eo%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We get 1st Angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ALPHA ALIGN=MIDDLE  ALT=\"ALPHA\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which will be very helpful:<BR>\n" );
document.write( "By Trigo Function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cos%28alpha%29=adj%2Fhyp=AB%2FAE ALIGN=MIDDLE  ALT=\"Cos%28alpha%29=adj%2Fhyp=AB%2FAE\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha=cos%5E-1%28AB%2FAE%29=cos%5E-1%286%2F10%29 ALIGN=MIDDLE  ALT=\"alpha=cos%5E-1%28AB%2FAE%29=cos%5E-1%286%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha=53.13%5Eo ALIGN=MIDDLE  ALT=\"alpha=53.13%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BE ALIGN=MIDDLE  ALT=\"BE\"   DISABLED_style= \"max-width:90%; height:auto;\" >?, by Pyth.Teorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AE%5E2=AB%5E2%2BBE%5E2 ALIGN=MIDDLE  ALT=\"AE%5E2=AB%5E2%2BBE%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BE%5E2=AE%5E2-AB%5E2=10%5E2-6%5E2=100-36=64 ALIGN=MIDDLE  ALT=\"BE%5E2=AE%5E2-AB%5E2=10%5E2-6%5E2=100-36=64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BE=sqrt%2864%29 ALIGN=MIDDLE  ALT=\"BE=sqrt%2864%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----------><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28BE=8%29 ALIGN=MIDDLE  ALT=\"highlight%28BE=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC ALIGN=MIDDLE  ALT=\"AC\"   DISABLED_style= \"max-width:90%; height:auto;\" >?, by Trigo function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28alpha%29=opp%2Fadj=DC%2FAC ALIGN=MIDDLE  ALT=\"tan%28alpha%29=opp%2Fadj=DC%2FAC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=DC%2Ftan%28alpha%29=14%2Ftan53.13%5Eo ALIGN=MIDDLE  ALT=\"AC=DC%2Ftan%28alpha%29=14%2Ftan53.13%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28AC=10.50%29 ALIGN=MIDDLE  ALT=\"highlight%28AC=10.50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD ALIGN=MIDDLE  ALT=\"AD\"   DISABLED_style= \"max-width:90%; height:auto;\" >?, by Trigo function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28alpha%29=opp%2Fhyp=DC%2FAD ALIGN=MIDDLE  ALT=\"sin%28alpha%29=opp%2Fhyp=DC%2FAD\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD=DC%2Fsin%28alpha%29=14%2Fsin53.13%5E0 ALIGN=MIDDLE  ALT=\"AD=DC%2Fsin%28alpha%29=14%2Fsin53.13%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28AD=17.50%29 ALIGN=MIDDLE  ALT=\"highlight%28AD=17.50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See the 2 pairs of Triangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-2%2C12%2C-2%2C15%2Ctriangle%2810%2C0%2C0%2C0%2C0%2C14%29%2Cred%28line%284%2C0%2C4%2C8.4%29%29%2Ccircle%284%2C8.4%2C.12%29%2Ccircle%284%2C0%2C.12%29%2Ccircle%2810%2C0%2C.12%29%2Clocate%287%2C-.25%2C6%29%2Clocate%287%2C5%2C10%29%2Clocate%28-.85%2C7%2C14%29%2Clocate%2810.5%2C-.25%2CA%29%2Clocate%28-.85%2C0%2CC%29%2Clocate%28-.85%2C14%2CD%29%2Clocate%284%2C9.3%2CE%29%2Clocate%284%2C-.25%2CB%29%2Clocate%284.3%2C1%2C90%5Eo%29%2Clocate%28.3%2C1%2C90%5Eo%29%2Clocate%285%2C10%2Chighlight%28AD=17.50%29%29%2Clocate%282.2%2C5%2Chighlight%28BE=8%29%29%2Clocate%283.7%2C-1.2%2Chighlight%28AC=10.50%29%29%2Clocate%288%2C1%2C53.13%5Eo%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "thank you,<BR>\n" );
document.write( "Jojo<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );