document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157507>Question 1157507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle has 6-inch, 8-inch, and 10-inch sides. A square can be inscribed in this triangle, with one vertex on each leg and two vertices on the hypotenuse. How long are the sides of the square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780405 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28800%2C800%2C-2%2C12%2C-2%2C12%0D%0A%2Cline%280%2C0%2C10%2C0%29%2Cline%280%2C0%2C3.6%2C4.8%29%2Cline%283.6%2C4.8%2C10%2C0%29%0D%0A%2Cline%282.41%2C0%2C2.41%2C3.25%29%2Cline%282.41%2C3.25%2C5.66%2C3.25%29%2Cline%285.66%2C3.25%2C5.66%2C0%29%0D%0A%2Clocate%280%2C0%2CA%29%2Clocate%2810%2C0%2CB%29%2Clocate%283.6%2C5.2%2CC%29%0D%0A%2Clocate%282.3%2C3.5%2CD%29%2Clocate%285.7%2C3.5%2CE%29%2Clocate%282.3%2C0%2CG%29%2Clocate%285.7%2C0%2CF%29%0D%0A%2Clocate%284%2C3.25%2Cx%29%2Clocate%282.6%2C1.62%2Cx%29%2Clocate%285.2%2C1.62%2Cx%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The diagram shows the right triangle with AB=10, AC=6, and BC=8.<br><BR>\n" );
document.write( "The inscribed square divides triangle ABC into three triangles and the square; each of the triangles is similar to triangle ABC.<br><BR>\n" );
document.write( "So in each of the small triangles, the ratio of the side lengths is 3:4:5.<br><BR>\n" );
document.write( "If x is the side length of the square, then hypotenuse AD of triangle AGD is (5/4)x, and leg DC of triangle DCE is (3/5)x.<br><BR>\n" );
document.write( "But we know AC is 6, so<br><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6%2F%2837%2F20%29+=+6%2A20%2F37+=+120%2F37 ALIGN=MIDDLE  ALT=\"x+=+6%2F%2837%2F20%29+=+6%2A20%2F37+=+120%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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