document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698339>Question 698339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine whether the triangle whose sides are of length 15cm, 20cm and 25cm is a right angled triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430596 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">We can use the Pythagorean Theorem to find our answer.<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where c is the hypotenuse of the triangle.<br>\r<BR>\n" );
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document.write( "If this relation is not true, then the triangle can not be a right triangle.<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2%2B20%5E2=25%5E2 ALIGN=MIDDLE  ALT=\"15%5E2%2B20%5E2=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Is this equation true?<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225%2B400=625 ALIGN=MIDDLE  ALT=\"225%2B400=625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=625=625 ALIGN=MIDDLE  ALT=\"625=625\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It's true!<br>\r<BR>\n" );
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document.write( "Thus, the given triangle is a right triangle, and does indeed contain a right angle.<br>\r<BR>\n" );
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document.write( "I knew the answer before I did the math, using a secret about special triangles.<br>\r<BR>\n" );
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document.write( "This triangle is of the form 3:4:5, which is a Pythagorean Triple.<br>\r<BR>\n" );
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document.write( "ANY triangle with sides in the ratio 3:4:5 is a right triangle.<br>\r<BR>\n" );
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document.write( "Another popular Pythagorean Triple is 5:12:13<br>\r<BR>\n" );
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document.write( "I hope this helps!  Keep practicing!  :)<br>\r<BR>\n" );
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document.write( "Thank you and good luck with all your future studies!<br><br> </SPAN>\n" );
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