document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137781>Question 1137781</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heron's Formula Word Problem:<BR>\n" );
document.write( "Help, please!  I am verey stuck on this difficult problem.  <BR>\n" );
document.write( "​Heron's formula gives a method of finding the area of a triangle if the lengths of its sides are known. Suppose that​ a, b, and c are the lengths of the sides. Let s denote​ one-half of the perimeter of the triangle​ (called the​ semiperimeter), that​ is, s=1/2(a+b+c). Then the area of the triangle is <BR>\n" );
document.write( "A=s(s−a)(s−b)(s−c). Find the area of an island in the form of a triangle if the sides of this triangle measure approximately 16 ​mi, 10 ​mi, and 8 mi.\r<BR>\n" );
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document.write( "______mi squared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755656 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52866)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "perimeter = 16 + 10 + 8 = 34;\r\n" );
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document.write( "semi-perimeter s = 34/2 = 17.\r\n" );
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document.write( "s - a = 17 - 16 = 1;\r\n" );
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document.write( "s - b = 17 - 10 = 7;\r\n" );
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document.write( "s - c = 17 - 14 = 3.\r\n" );
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document.write( "Heron's formula:\r\n" );
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document.write( "    Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2817%2A1%2A7%2A3%29 ALIGN=MIDDLE  ALT=\"sqrt%2817%2A1%2A7%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28357%29 ALIGN=MIDDLE  ALT=\"sqrt%28357%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18.89 square miles.    <U>ANSWER</U>\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "It is just for the second time this problem, word in word, simply with different numerical input, comes to this forum.\r<BR>\n" );
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document.write( "The first one was under this link\r<BR>\n" );
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document.write( "<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1137471.html>https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1137471.html></A>\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1137471.html\r<BR>\n" );
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document.write( "Do you collect the solutions from this forum to fill another site ?\r<BR>\n" );
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document.write( "To fill a solution book for some textbook ?\r<BR>\n" );
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document.write( "In any case, on the Heron's formula see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Surface-area/-Proof-of-the-Heron%27s-formula-for-the-area-of-a-triangle.lesson>Proof of the Heron's formula for the area of a triangle</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Surface-area/One-more-proof-of-the-Heron%27s-formula-for-the-area-of-a-triangle.lesson>One more proof of the Heron's formula for the area of a triangle</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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