document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708129>Question 708129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my daughter is working with triangles and the triangle has an x on the left side and on the bottom it says 75 and on the right side of the triangle is says 105. I am trying to find a formula on how to solve the problem and get the answer for the x. if u could please help me find the formula on how to solve the problem i would truly appreciate it.  thank you so so much and God bless U!! appreciate your time!! take care <BR>\n" );
document.write( "jess </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436005 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=436005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jess,<BR>\n" );
document.write( "you are not giving me enough information, but I hope I can guess.<BR>\n" );
document.write( "To find the length of the third side, you need information about the angles.<BR>\n" );
document.write( "My guess is that your triangle looks kind of like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-3%2C77%2C-4%2C76%2C%0D%0Atriangle%280%2C0%2C75%2C0%2C0%2C73.485%29%2C%0D%0Arectangle%280%2C0%2C3%2C3%29%2Clocate%2832%2C0%2C75%29%2C%0D%0Alocate%28-3%2C35%2Cx%29%2Clocate%2833%2C45%2C105%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > That little square in the corner means that the sides measuring x and 75 are perpendicular, which means that is a right triangle.<BR>\n" );
document.write( "Maybe the drawing shows that little square, or maybe the problem stated that it was a right triangle, and you just forgot to mention it.<BR>\n" );
document.write( "In right triangles, the perpendicular sides are called the \"legs\" of the right triangle and the other, longer side is called the \"hypotenuse\".<BR>\n" );
document.write( "The Pythagorean theorem says that the lengths of the legs, squared, add to the length of the hypotenuse squared.<BR>\n" );
document.write( "In this case<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B75%5E2=105%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B75%5E2=105%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5625=11025 ALIGN=MIDDLE  ALT=\"x%5E2%2B5625=11025\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=11025-5625 ALIGN=MIDDLE  ALT=\"x%5E2=11025-5625\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=5400 ALIGN=MIDDLE  ALT=\"x%5E2=5400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be calculated as an approximate decimal number, or as an exact irrational number.<BR>\n" );
document.write( "The approximate value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73.5 ALIGN=MIDDLE  ALT=\"73.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73.48 ALIGN=MIDDLE  ALT=\"73.48\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73.485 ALIGN=MIDDLE  ALT=\"73.485\"   DISABLED_style= \"max-width:90%; height:auto;\" > if you needed more decimal places).<BR>\n" );
document.write( "The exact result is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%285400%29 ALIGN=MIDDLE  ALT=\"x=sqrt%285400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=30sqrt%286%29 ALIGN=MIDDLE  ALT=\"x=30sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5400=900%2A6 ALIGN=MIDDLE  ALT=\"5400=900%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285400%29=sqrt%28900%29%2Asqrt%286%29=30%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%285400%29=sqrt%28900%29%2Asqrt%286%29=30%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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