document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714837>Question 714837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have right triangle that I need to know the 2 legs<BR>\n" );
document.write( "hypotnues is 22 what are the legs.\r<BR>\n" );
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document.write( "the second thing is i need the middle height of the triangl after the legs are found  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439213 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need more information, because there is an infinite number of triangles with a hypotenuse of 22.<BR>\n" );
document.write( "There is probably some other information that you are missing (problem not properly copied), or you are not noticing some given information.<BR>\n" );
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document.write( "Maybe you are given some information about the measure of the angles.<BR>\n" );
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document.write( "Maybe there is some information about how the lengths of the sides are related.<BR>\n" );
document.write( "If you were told that is is a isosceles right triangle, you would know that the two legs have the same length.<BR>\n" );
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document.write( "The could be information hidden in a drawing:<BR>\n" );
document.write( "There could be identical marks on the legs,indicating that they have the same length.<BR>\n" );
document.write( "There could be identical arcs on the acute angles, indicating that they have the same measure.<BR>\n" );
document.write( "If you were given a drawing that labels the legs as some expression with x (like 2x+3), that could be useful information.<BR>\n" );
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document.write( "Once you have the length of all 3 sides, you can calculate your altitude to the hypotenuse, as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=altitude=leg1%2Aleg2%2Fhypotenuse ALIGN=MIDDLE  ALT=\"altitude=leg1%2Aleg2%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Consider the two congruent triangles below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28450%2C150%2C-4%2C8%2C-0.5%2C3.5%2C%0D%0Atriangle%28-3.2%2C0%2C1.8%2C0%2C0%2C2.4%29%2C%0D%0Aline%28-0.2%2C2.25%2C-0.05%2C2.05%29%2Cline%280.15%2C2.2%2C-0.05%2C2.05%29%2C%0D%0Agreen%28line%280%2C0%2C0%2C2.4%29%29%2Clocate%280.05%2C1.2%2Cgreen%28h%29%29%2C%0D%0Arectangle%280%2C0%2C0.25%2C0.25%29%2C%0D%0Atriangle%283%2C0%2C7%2C0%2C3%2C3%29%2Crectangle%283%2C0%2C3.25%2C0.25%29%2C%0D%0Alocate%284.8%2C0%2C4%29%2Clocate%282.75%2C1.8%2C3%29%2Clocate%285%2C1.8%2C5%29%2C%0D%0Alocate%28-0.8%2C0%2C5%29%2Clocate%281%2C1.5%2C3%29%2Clocate%28-1.8%2C1.5%2C4%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > (They are the same triangle, just flipped and rotated).<BR>\n" );
document.write( "For the triangle on the right you would calculate the area as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=leg1%2Aleg2%2F2 ALIGN=MIDDLE  ALT=\"area=leg1%2Aleg2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , specifically <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=3%2A4%2F2 ALIGN=MIDDLE  ALT=\"area=3%2A4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the triangle on the left you would calculate the area as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=hypotenuse%2Ah%2F2 ALIGN=MIDDLE  ALT=\"area=hypotenuse%2Ah%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , specifically <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=5%2Ah%2F2 ALIGN=MIDDLE  ALT=\"area=5%2Ah%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But the triangles are the same and so are the areas, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse%2Ah%2F2=leg1%2Aleg2%2F2 ALIGN=MIDDLE  ALT=\"hypotenuse%2Ah%2F2=leg1%2Aleg2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hypotenuse%2Ah=leg1%2Aleg2 ALIGN=MIDDLE  ALT=\"hypotenuse%2Ah=leg1%2Aleg2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=leg1%2Aleg2%2Fhypotenuse ALIGN=MIDDLE  ALT=\"h=leg1%2Aleg2%2Fhypotenuse\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With numbers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ah%2F2=3%2A4%2F2 ALIGN=MIDDLE  ALT=\"5%2Ah%2F2=3%2A4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ah=3%2A4 ALIGN=MIDDLE  ALT=\"5%2Ah=3%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=3%2A4%2F5 ALIGN=MIDDLE  ALT=\"h=3%2A4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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