document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95412>Question 95412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the areas of two triangles is 8 to 5.  The altitude of one triangle is 5 centimeters more than the altitude of the other while the bases are each equal to 10 centimeters.  Find the altitude of each triangle.\r<BR>\n" );
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document.write( "(I have tried to convert the area into an altitude so both sides will be equal, but I am not sure what to do to solve it like that.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69511 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of the areas of two triangles is 8 to 5. The altitude of one triangle is 5 centimeters more than the altitude of the other while the bases are each equal to 10 centimeters. Find the altitude of each triangle. <BR>\n" );
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document.write( "The area of triangle = .5*b*h<BR>\n" );
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document.write( "triangle 1<BR>\n" );
document.write( "A1 = .5(10)h <BR>\n" );
document.write( "A1 =  5h<BR>\n" );
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document.write( "Triangle 2:<BR>\n" );
document.write( "A2 = .5(10)(h+5)<BR>\n" );
document.write( "A2 = 5(h+5)<BR>\n" );
document.write( "A2 = (5h + 25)<BR>\n" );
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document.write( "The problem tells us that: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A2%2FA1 ALIGN=MIDDLE  ALT=\"A2%2FA1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285h%2B25%29%29%2F%285h%29 ALIGN=MIDDLE  ALT=\"%28%285h%2B25%29%29%2F%285h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cross multiply:<BR>\n" );
document.write( "8(5h) = 5(5h+25)<BR>\n" );
document.write( "40h = 25h + 125<BR>\n" );
document.write( "40h - 25h = 125<BR>\n" );
document.write( "15h = 125<BR>\n" );
document.write( "h = 125/15<BR>\n" );
document.write( "h = 25/3 = 8.333 cm, triangle 1 altitude<BR>\n" );
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document.write( "8.333 + 5 = 13.333 cm, triangle 2 altitude<BR>\n" );
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document.write( "Check solutions by finding the areas:<BR>\n" );
document.write( "A1 = .5*10*8.333 = 41.665<BR>\n" );
document.write( "A2 = .5*10*13.333 = 66.665<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66.665%2F41.665 ALIGN=MIDDLE  ALT=\"66.665%2F41.665\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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