document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255679>Question 255679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i do the 45 45 90 and the 30 60 90 triangles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187914 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=187914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do i do the 45 45 90 and the 30 60 90 triangles?\r<BR>\n" );
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document.write( "pythagorean theorem is for right triangle <BR>\n" );
document.write( "(triangles with a 90 degree angle as one of the 3 angles)\r<BR>\n" );
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document.write( "a^2+b^2=c^2  where a and b are 2 of the sides and c is the diagonal (longest side) otherwise known as the hypotenuse\r<BR>\n" );
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document.write( "45 45 90<BR>\n" );
document.write( "take a rectangle and slice it in two at the diagonal and take one of the halves,<BR>\n" );
document.write( "that is this triangle\r<BR>\n" );
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document.write( "length ^2 + width ^2 = diagonal ^ 2\r<BR>\n" );
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document.write( "30 60 90<BR>\n" );
document.write( "that is half of an equalateral triangle (a triangle with 3 equal sides)\r<BR>\n" );
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document.write( "the short side will be half the base and will be opposite the 30 degree angle<BR>\n" );
document.write( "the height will be opposite the 60 degree angle<BR>\n" );
document.write( "the hypotenuse will be opposite the 90 degree angle\r<BR>\n" );
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document.write( "(1/2 base)^2 + height ^2 = hypotenuse ^2\r<BR>\n" );
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document.write( "you can also use these ratios to come up with the sides if you know the angle<BR>\n" );
document.write( "sine<BR>\n" );
document.write( " opp/hyp<BR>\n" );
document.write( "cosine<BR>\n" );
document.write( " adj/hyp<BR>\n" );
document.write( "tangent<BR>\n" );
document.write( " opp/adj\r<BR>\n" );
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document.write( "the hypotenuse will always be opposite to the 90 degree angle\r<BR>\n" );
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document.write( "these are some of the ratios for these triangles<BR>\n" );
document.write( "sine 45 = sqrt(2)/2 <BR>\n" );
document.write( "sine 90 = 1<BR>\n" );
document.write( "sine 30 = 0.5<BR>\n" );
document.write( "sine 60 = sqrt(3)/2<BR>\n" );
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