document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=603142>Question 603142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the volume of an 8 in. Tall right triangular pyramid with a base hypotenuse of 5 in. And a base leg of 3 inches </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380623 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=380623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The base is a right triangle with a hypotenuse measuring 5 inches and a leg measuring 3 inches.<BR>\n" );
document.write( "According to Pythagoras theorem, the other leg must measure 4 inches, because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2B4%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"3%5E2%2B4%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-0.5%2C4.5%2C-1.5%2C3.5%2C%0D%0Atriangle%280%2C0%2C0%2C3%2C4%2C0%29%2Crectangle%280%2C0%2C0.15%2C0.15%29%2C%0D%0Alocate%281.8%2C-0.05%2C4%29%2Clocate%280.05%2C1.6%2C3%29%2C+locate%282%2C1.75%2C5%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The triple 3,4,5 is the best known and most popular of the Pythagorean triples, those sets of 3 positive integers with the square of the largest equal to the sum of the squares of the other two.<BR>\n" );
document.write( "So the base of that pyramid is a triangle with two perpendicular sides measuring 3 and 4 inches. Calling one of them the base of the triangle, and the other one the height of the triangle, the area of the triangle, In square inches, is calculated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A3%2A4=6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A3%2A4=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The volume of a pyramid is 1/3 times the area of the base, times the height of the pyramid.<BR>\n" );
document.write( "For the pyramid in the problem, the volume, in cubic inches, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Volume=%281%2F3%29%2A6%2A8=16 ALIGN=MIDDLE  ALT=\"Volume=%281%2F3%29%2A6%2A8=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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