document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222839>Question 222839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is half as long as the other. What is the length of the hypotenuse as a function of the shorter leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166749 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=166749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is half as long as the other. What is the length of the hypotenuse as a function of the shorter leg?\r<BR>\n" );
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document.write( "Step 1.  Let x be the shorter leg and 2x be the other leg.\r<BR>\n" );
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document.write( "Step 2.  To solve this problem, use the Pythagorean Theorem given as the sum of the squares of the legs is equal to the square of the hypotenuse c.\r<BR>\n" );
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document.write( "Step 3.  Then,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=x%5E2%2B%282x%29%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=x%5E2%2B%282x%29%5E2\"   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=c%5E2=x%5E2%2B4x%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=x%5E2%2B4x%5E2\"   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=c%5E2=5x%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the square root to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=x%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"c=x%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  ANSWER: The hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the shorter leg.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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