document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761898>Question 761898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ratio of the base of an isosceles triangle to its altitude is 3:4. find the measures of the angles pf the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463570 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=463570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Much like saying ratio of base to altitude is 6:8.  The altitude cuts this isosceles triangle into two right-triangles, each with legs in the ratio of 3:8.  The hypotenuse would then have corresponding value of h, related as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%283%5E2%2B8%5E2%29=sqrt%289%2B64%29=highlight%28sqrt%2873%29=h%29 ALIGN=MIDDLE  ALT=\"h=sqrt%283%5E2%2B8%5E2%29=sqrt%289%2B64%29=highlight%28sqrt%2873%29=h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Each of the angles at the endpoints of the original isosceles triangle measure as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arcsin%288%2Fsqrt%2873%29%29 ALIGN=MIDDLE  ALT=\"arcsin%288%2Fsqrt%2873%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees (about 69.4 degrees).\r<BR>\n" );
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document.write( "The angle at top from where the altitude is drawn will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-2%2Aarcsin%288%2Fsqrt%2873%29%29 ALIGN=MIDDLE  ALT=\"180-2%2Aarcsin%288%2Fsqrt%2873%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C0%2C12%2C0%2C12%2C%0D%0Aline%283%2C1%2C9%2C1%29%2C%0D%0Aline%289%2C1%2C6%2C9%29%2C%0D%0Aline%286%2C9%2C3%2C1%29%2C%0D%0Agreen%28line%286%2C1%2C6%2C9%29%29%2C%0D%0Alocate%284.5%2C0.7%2C3%29%2C%0D%0Alocate%287.5%2C0.7%2C3%29%2C%0D%0Alocate%285.5%2C4.5%2C8%29%2C%0D%0Alocate%280.5%2C6%2Chypot_sqrt%2873%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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