document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104855>Question 1104855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sides of a right angled triangle ABC are in A.P.(angle B =90),then sinC=?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719561 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The side lengths are in arithmetic progression, so let the side lengths be x-a, a, and x+a.  Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-a%29%5E2%2Bx%5E2+=+%28x%2Ba%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-a%29%5E2%2Bx%5E2+=+%28x%2Ba%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2ax%2Ba%5E2%2Bx%5E2+=+x%5E2%2B2ax%2Ba%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-2ax%2Ba%5E2%2Bx%5E2+=+x%5E2%2B2ax%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4ax+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-4ax+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-4a%29+=+0 ALIGN=MIDDLE  ALT=\"x%28x-4a%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "So x = 4a, and the side lengths of the triangle are<BR>\n" );
document.write( "x-a = 4a-a = 3a;<BR>\n" );
document.write( "x = 4a; and<BR>\n" );
document.write( "x+a = 4a+a = 5a<br><BR>\n" );
document.write( "So the side lengths are in the ratio 3:4:5.<br><BR>\n" );
document.write( "That means the sines of the acute angles (A and C) are 3/5 and 4/5.<br><BR>\n" );
document.write( "But we can't finish the problem, because there is nothing in your statement of the problem to tell us which of the acute angles is angle C.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );