document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203384>Question 1203384</A>: <I><SPAN STYLE=\"word-break: break-all;\">  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838899 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cos(b) = 4/5<BR>\n" );
document.write( "a similar triangle would be those values multiplied by a common factor.<BR>\n" );
document.write( "we'll call the common factor x.<BR>\n" );
document.write( "you then get:<BR>\n" );
document.write( "cos(B) = 4x/5x<BR>\n" );
document.write( "you are given that a = 70<BR>\n" );
document.write( "since a = 4x, this means that x = 70/4 = 17.5.<BR>\n" );
document.write( "your common factor is 17.5<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "a = 70<BR>\n" );
document.write( "c = 5 * 17.5 = 87.5<BR>\n" );
document.write( "you can use pythagorus to get a^2 + b^2 = c^2 which becomes 70^2 + b^2 = 87.5^2.<BR>\n" );
document.write( "solve for b^2 to get b^2 = 87.5^2 - 70^2 = 2756.25<BR>\n" );
document.write( "solve for b to get b = square root of 2756.25 = 52.5<BR>\n" );
document.write( "if you givide that by x = 17.5, you get b = 3.\r<BR>\n" );
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document.write( "you unit triangle is a 3,4,5 triangle.<BR>\n" );
document.write( "b is equal to 3, a is equal to 4, c is equal to 5.<BR>\n" );
document.write( "this is the triangle you get when the common factor is 1.<BR>\n" );
document.write( "when you multiply by the common factor of 17.5, you get a 52.5, 70, 87.5 triangle.\r<BR>\n" );
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document.write( "the triangles are similar, which means the corresponding angles are congruent and the corresponding sides are proportional.\r<BR>\n" );
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document.write( "the triangle that i drew has A on the top left, B on the bottom right, and C on the bottom left.<BR>\n" );
document.write( "a is the side opposite angle A, b ks the side opposite angle B, C is the side opposite angle C.<BR>\n" );
document.write( "angle C is a right angle.\r<BR>\n" );
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