document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684328>Question 684328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each right triangle find all the missing values of the side lengths and angle measures.Show your work\r<BR>\n" );
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document.write( "a) Triangle PQR is right angled at Q , PQ is 24 cm, RQ is 10 cm , PQ is the hypotenuse which is unknown.\r<BR>\n" );
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document.write( "b) Triangle PRQ is right angled at R,  PQ is 30 mm , RQ is 40 mm , PQ is 50 mm.\r<BR>\n" );
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document.write( "c) Triangle QRP is right angled at R , angle of P is 60 degrees, QP is 20 cm.\r<BR>\n" );
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document.write( "can you please explain this to me? thanks in advance\r<BR>\n" );
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document.write( "d) Triangle PQR is right angled at Q , QR is 1.125 dm, PR is 5.125 dm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424053 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=424053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each right triangle find all the missing values of the side lengths and angle measures.Show your work <BR>\n" );
document.write( "a) Triangle PQR is right angled at Q , PQ is 24 cm, RQ is 10 cm , PQ is the hypotenuse which is unknown.<BR>\n" );
document.write( "PQ = sqrt[24^2+10^2] = sqrt(576] = 26<BR>\n" );
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document.write( "b) Triangle PRQ is right angled at R, PQ is 30 mm , RQ is 40 mm , PQ is 50 mm.<BR>\n" );
document.write( "P is the angle opposite RQ <BR>\n" );
document.write( "PQ is opposite R and is the hypotenuse<BR>\n" );
document.write( "So P = sin^-1(40/50) = 53.13 degrees<BR>\n" );
document.write( "And Q = sin^-1(30/50) = 36.87 degrees\r<BR>\n" );
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document.write( "c) Triangle QRP is right angled at R , angle of P is 60 degrees, QP is 20 cm. <BR>\n" );
document.write( "can you please explain this to me? thanks in advance <BR>\n" );
document.write( "Draw the picture.<BR>\n" );
document.write( "You have a right triangle with <BR>\n" );
document.write( "hypotenuse is side opposite right angle R which is QP = 20 cm<BR>\n" );
document.write( "P = 60 degrees is the angle opposite QR<BR>\n" );
document.write( "Q = 90-60 = 30 degrees<BR>\n" );
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document.write( "QR is side opposite P, so sin(P) = QR/QP ; sin(60) = QR/20 ;<BR>\n" );
document.write( "QR = 20*sin(60) = 17.32<BR>\n" );
document.write( "PR is side opposite Q which is 30 degrees<BR>\n" );
document.write( "PR = (1/2)*hypotenuse = (1/2)*20 = 10 cm<BR>\n" );
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document.write( "d) Triangle PQR is right angled at Q , QR is 1.125 dm, PR is 5.125 dm.<BR>\n" );
document.write( "Draw the picture and see if you can determine:<BR>\n" );
document.write( "angle P = <BR>\n" );
document.write( "angle R = <BR>\n" );
document.write( "side PQ = <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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