document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182314>Question 1182314</A>: <I><SPAN STYLE=\"word-break: break-all;\">  In triangle PQR, P = 50°, PR = 11 and PQ = 9.\r<BR>\n" );
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document.write( "a) Show that there are two possible measures of PQR\r<BR>\n" );
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document.write( "b) Sketch triangle PQR for each case\r<BR>\n" );
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document.write( "c)For each case, find: i) the measure of QPR , ii) the area of the triangle, iii) the perimeter of the triangle.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812300 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=812300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Only <u>one</u> triangle is possible because of the SAS congruence rule.\r<BR>\n" );
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document.write( "Let's say that triangle ABC and triangle PQR had the following measurements<ul><li>angle A = 50, angle P = 50</li><li>AC = 11, PR = 11</li><li>AB = 9, PQ = 9</li></ul>For triangle ABC, the angle A is between the mentioned sides AB and AC<BR>\n" );
document.write( "For triangle PQR, the angle P is between the mentioned sides PR and PQ\r<BR>\n" );
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document.write( "Diagram:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" width=\"50%\" src = \"https://i.imgur.com/ZpPrZ0C.png\"><BR>\n" );
document.write( "In other words, if you know two sides of a triangle, and the included angle, then only one triangle is possible. The diagram above shows that if you can claim two different triangles are possible, then you arrive at a contradiction due to the SAS rule.\r<BR>\n" );
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document.write( "So I'm not sure why your teacher thinks there are two triangles possible. There may be a typo somewhere.<BR>\n" );
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