document.write( "Question 1137471: I need serious help to solve this. I don't understand why there is such a hard problem; it is the last problem in the set and it is extremely complicated. Thank you so much. \r
\n" ); document.write( "\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, & 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 A= √s(s−a)(s−b)(s−c).\r
\n" ); document.write( "\n" ); document.write( "Find the area of an island in the form of a triangle if the sides of this triangle measure approximately 13 mi, 10 mi, and 14 mi. \n" ); document.write( "

Algebra.Com's Answer #755337 by ikleyn(52864) $\"\"$ $\"About$

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document.write( "perimeter = 13 + 10 + 14 = 37;\r\n" );
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document.write( "semi-perimeter s = 37/2 = 18.5\r\n" );
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document.write( "s - a = 18.5 - 13 = 5.5;\r\n" );
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document.write( "s - b = 18.5 - 10 = 8.5;\r\n" );
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document.write( "s - c = 18.5 - 14 = 4.5.\r\n" );
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document.write( "Heron's formula:\r\n" );
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document.write( "    Area =  =  = 62.39 square miles.    ANSWER\r\n" );
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