document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286259>Question 286259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The three sides of a triangle are 7, 24, and 30 units long. Is the triangle acute, right or obtuse? You must support your answer with computations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207573 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=207573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The three sides of a triangle are 7, 24, and 30 units long. Is the triangle acute, right or obtuse? You must support your answer with computations.<BR>\n" );
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document.write( "Use the Law of Cosines:<BR>\n" );
document.write( "cos(A) = (7^2 + 24^2-30^2)/(2*7*24) = -0.81845<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A = cos^-1(-0.81845) = 144.94 degrees<BR>\n" );
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document.write( "cos(B) = (30^2+7^2-24^2)/(2*30*7)<BR>\n" );
document.write( "cos(B) = 0.8881<BR>\n" );
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document.write( "B = cos^-1(0.8881) = 27.37 degrees<BR>\n" );
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document.write( "cos(C) = (30^2+24^2-7^2)/(2*30*24) = 0.9910<BR>\n" );
document.write( "C = cos^-1(0.9910) = 7.70 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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