document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252240>Question 252240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sides of triangles A and B measure 5, 5, 8 and 5, 5, 6, respectively. What is the ratio of the area of triangle A to the area of triangle B ?\r<BR>\n" );
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document.write( "a. 1 : 1   b. 2 : 1   c. 3 : 2   d. 4 : 3   e. 5 : 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184051 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=184051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the base if given by the side that is 8 in triangle A and 6 in triangle B.<BR>\n" );
document.write( "The area of a triangle is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bh%2F2 ALIGN=MIDDLE  ALT=\"bh%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since you already have the base for each triangle, what you need to find next is the height for each one.\r<BR>\n" );
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document.write( "Drop a vertical line from the corner of the triangle that is formed by the two 5 inch sides. That line will bisect the base and form two right triangles. \r<BR>\n" );
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document.write( "Use the Pythagorean theorem to find the height.\r<BR>\n" );
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document.write( "For Triangle A, the sides of the right triangle are 5,4,h. You know, or should memorize, that 3:4:5 ratio always forms a right triangle. So, the height for A is 3\r<BR>\n" );
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document.write( "Use the same logic on B, (5,3,h). Again, you have a 3:4:5, except this time the height is 4.\r<BR>\n" );
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document.write( "Now you have all the dimensions you need. \r<BR>\n" );
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document.write( "Find the ratio of the two areas as follows\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Triangle+A+%3A+Triangle+B ALIGN=MIDDLE  ALT=\"Triangle+A+%3A+Triangle+B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bh%2F2+%3A+bh%2F2 ALIGN=MIDDLE  ALT=\"bh%2F2+%3A+bh%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A3%2F2+%3A+6%2A4%2F2 ALIGN=MIDDLE  ALT=\"8%2A3%2F2+%3A+6%2A4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+%3A+12 ALIGN=MIDDLE  ALT=\"12+%3A+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the ratio is 1:1\r<BR>\n" );
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document.write( "Wouldn't have figured that at first look. But the math doesn't lie.\r<BR>\n" );
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document.write( "Merry Christmas </SPAN>\n" );
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