document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132035>Question 1132035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Land in the shape of an isosceles triangle has a base of 130 m. An altitude from one of the legs of the triangle is 120 m. What is the area of the property?<BR>\n" );
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document.write( "Can someone please solve this without using trignometry.<BR>\n" );
document.write( "a) 3000<BR>\n" );
document.write( "b) 9840<BR>\n" );
document.write( "c) 9512<BR>\n" );
document.write( "d) 10 140<BR>\n" );
document.write( "e) 10 200 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748863 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " Land in the shape of an isosceles triangle has a base of 130 m. An altitude from one of the legs of the triangle is 120 m. What is the area of the property?\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( " base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base=130 ALIGN=MIDDLE  ALT=\"base=130\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "altitude  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=120 ALIGN=MIDDLE  ALT=\"a=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can equate the area as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29base+%2A+height+ ALIGN=MIDDLE  ALT=\"A=%281%2F2%29base+%2A+height+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28130%2F2%29+%2A+height+ ALIGN=MIDDLE  ALT=\"A=%28130%2F2%29+%2A+height+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=65%2Aheight ALIGN=MIDDLE  ALT=\"A+=65%2Aheight\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............. (1)  \r<BR>\n" );
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document.write( "area of the triangle using given altitude:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=120+%2A+%281%2F2%29%2Aside ALIGN=MIDDLE  ALT=\"A%5B1%5D+=120+%2A+%281%2F2%29%2Aside\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=60+%2A+side ALIGN=MIDDLE  ALT=\"A%5B1%5D+=60+%2A+side\"   DISABLED_style= \"max-width:90%; height:auto;\" > ............. (2)\r<BR>\n" );
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document.write( "Set (1)  = (2)      and solve for the side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60+%2A+side++=++65+%2A+height ALIGN=MIDDLE  ALT=\"60+%2A+side++=++65+%2A+height\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=side++=+%2865%2F60%29+%2A+height ALIGN=MIDDLE  ALT=\"side++=+%2865%2F60%29+%2A+height\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=side++=++%2813%2F12%29%2Ah ALIGN=MIDDLE  ALT=\"side++=++%2813%2F12%29%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The side  is the hypotenuse of a right triangle with the height and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > base being the legs.\r<BR>\n" );
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document.write( "So using the Pythagorean Theorem, we have that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%28+side%5E2++-++h%5E2+%29+++=++%281%2F2%29+base ALIGN=MIDDLE  ALT=\"sqrt+%28+side%5E2++-++h%5E2+%29+++=++%281%2F2%29+base\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28+%2813%2F12%29h%29%5E2++-+h%5E2%29++=++%281%2F2%29+base++ ALIGN=MIDDLE  ALT=\"sqrt%28%28+%2813%2F12%29h%29%5E2++-+h%5E2%29++=++%281%2F2%29+base++\"   DISABLED_style= \"max-width:90%; height:auto;\" >      \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%28+%28169%2F+144%29h%5E2+-++%28144%2F144%29h%5E2+%29++=+%28+1%2F2%29+base ALIGN=MIDDLE  ALT=\"sqrt+%28+%28169%2F+144%29h%5E2+-++%28144%2F144%29h%5E2+%29++=+%28+1%2F2%29+base\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28169+-+144%29+h%5E2++%2F+144+%29++=++%281%2F2%29+base ALIGN=MIDDLE  ALT=\"sqrt%28%28169+-+144%29+h%5E2++%2F+144+%29++=++%281%2F2%29+base\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%2825h%5E2+%2F+144+%29++=++%281%2F2%29+base ALIGN=MIDDLE  ALT=\"sqrt+%2825h%5E2+%2F+144+%29++=++%281%2F2%29+base\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285h+%2F+12%29++=++%281%2F2%29+base ALIGN=MIDDLE  ALT=\"%285h+%2F+12%29++=++%281%2F2%29+base\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29+base=130%2F2=65 ALIGN=MIDDLE  ALT=\"%281%2F2%29+base=130%2F2=65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F12%29h++=++65 ALIGN=MIDDLE  ALT=\"%285%2F12%29h++=++65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+65%2F%285%2F12%29 ALIGN=MIDDLE  ALT=\"h+=+65%2F%285%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+%2865%2A12%29%2F5 ALIGN=MIDDLE  ALT=\"h+=+%2865%2A12%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h++=+13+%2A+12 ALIGN=MIDDLE  ALT=\"h++=+13+%2A+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+++156+m ALIGN=MIDDLE  ALT=\"h+=+++156+m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, the area is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29base+%2A+height ALIGN=MIDDLE  ALT=\"A=%281%2F2%29base+%2A+height\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29130m+%2A+156m ALIGN=MIDDLE  ALT=\"A=%281%2F2%29130m+%2A+156m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=65m+%2A+156m ALIGN=MIDDLE  ALT=\"A=65m+%2A+156m\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10140m%5E2 ALIGN=MIDDLE  ALT=\"A=10140m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your answer is: d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+140 ALIGN=MIDDLE  ALT=\"10+140\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );