document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057675>Question 1057675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are told that a triangle has sides  that are 7 inches and 4 inches long. You were also told that the sides form an angle that  measure 53°. Is there only one triangle that has these given dimensions why or why not. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672682 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the SAS formula. SAS stands for Side-Angle-Side:<BR>\n" );
document.write( "c^2 = a^2+b^2-2ab cos(C)<BR>\n" );
document.write( "where we have three sides, a, b, c, and c is our unknown side. C is the angle we know, it's opposite side c. Plug in the numbers:<BR>\n" );
document.write( "c^2 = [(7^2+4^2)-2*7*4*cos(53)<BR>\n" );
document.write( "c^2 = 49+16-56*0.602 = 31.288<BR>\n" );
document.write( "sqrtc^2 = sqrt31.288<BR>\n" );
document.write( "c = 6 <BR>\n" );
document.write( "There is only one triangle with sides 4, 6, 7 and angle C = 53°<BR>\n" );
document.write( ":<BR>\n" );
document.write( "John </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );