document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694382>Question 694382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A window is shaped like a triangular prism the side measures 18cm, 33.75 cm and 38.25 cm.\r<BR>\n" );
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document.write( "a) How can we be sure that the base of this prism is a right triangular? show your work.\r<BR>\n" );
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document.write( "b) What is the measure of the angle opposite the  38.25 cm side Show your work.\r<BR>\n" );
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document.write( "c) What is the measure of the angle opposite the 33.75 cm side. Show your work.\r<BR>\n" );
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document.write( "d) What is the measure of the angle opposite the 18 cm ? Show your work\r<BR>\n" );
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document.write( "can you please help me out on this question i really dont understand? thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427955 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) A triangle with sides of 18 cm, 33.75 cm, and 38.25 cm would be a right triangle if (and only if) the squares of the shorter sides add up to the square of the longer side.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%5E2%2B33.75%5E2=324%2B1139.0625=1463.0625 ALIGN=MIDDLE  ALT=\"18%5E2%2B33.75%5E2=324%2B1139.0625=1463.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38.25%5E2=1463.0625 ALIGN=MIDDLE  ALT=\"38.25%5E2=1463.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" > that triangle is a right triangle. The longest, 38.25-cm side is the hypotenuse and the other two sides are the legs of the right triangle.<BR>\n" );
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document.write( "Probably the terms \"triangular prism\", \"the base of this prism\" and \"right triangular\" (prism) confuse you.<BR>\n" );
document.write( "The problem calls the window a \"triangular prism\" to recognize that there is some thickness to it. It seems like an excess of correctness. I bet they would correctly a coin \"cylindrical\" instead of \"round.\"<BR>\n" );
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document.write( "b) The measure of the angle opposite the 38.25 cm is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians. Since we proved that the triangle is a right triangle, the longest side, measuring 38.25 cm, is the hypotenuse, which is opposite the right angle.<BR>\n" );
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document.write( "c) The 33.75 cm side and the 18 cm sides are the legs of a right triangle.<BR>\n" );
document.write( "Consequently, the tangent of the angle opposite the 33.75 cm side is the ratio of measures of opposite side, divided by adjacent side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28angle%29=33.75%2F18=1.875 ALIGN=MIDDLE  ALT=\"tan+%28angle%29=33.75%2F18=1.875\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angle=1.0808 ALIGN=MIDDLE  ALT=\"angle=1.0808\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in radians, rounded) or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angle=61.93%5Eo ALIGN=MIDDLE  ALT=\"angle=61.93%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded)<BR>\n" );
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document.write( "d)  The 33.75 cm side and the 18 cm sides are the legs of a right triangle.<BR>\n" );
document.write( "Consequently, the measures of the angles opposite those sides add up to the measure of a right angle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians.<BR>\n" );
document.write( "Then the measure of the angle opposite the 18 cm side is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo-61.93%5Eo=28.07%5Eo%7D%7D+or+%7B%7B%7Bpi%2F2-1.0808=0.4900 ALIGN=MIDDLE  ALT=\"90%5Eo-61.93%5Eo=28.07%5Eo%7D%7D+or+%7B%7B%7Bpi%2F2-1.0808=0.4900\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians (rounded) </SPAN>\n" );
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