document.write( "Question 1150862: The area of a triangle is equal to 41 sq cm and two of its sides measure 17 cm and 16 cm. Find the possible measure of the included angle in degrees of the given sides. \n" ); document.write( "

Algebra.Com's Answer #772399 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Use the formula for the area of a triangle \r\n" );
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document.write( "    S = \r\n" );
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document.write( "where \"a\" and \"b\" are two any side lengths of the triangle and    is the concluded angle between them.\r\n" );
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document.write( "From the formula,   =  =  =  0.301471.\r\n" );
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document.write( "Hence,   =  = 0.309634 radians = 17.74 degrees.\r\n" );
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document.write( "The other possible value for the angle    is 180 degrees MINUS  17.74 degrees = 162.24 degrees.\r\n" );
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document.write( "ANSWER.  At given conditions, there are two possible values for the angle between the sides  \r\n" );
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document.write( "         17.74 degrees  OR  162.24 degrees (approximately).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Ignore the solution and the answer by other person, since it is WRONG and IRRELEVANT.\r
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\n" ); document.write( "\n" ); document.write( "The fact that it is wrong, you can easily check by calculating the area of the triangle with the angle of 90.3 degrees between the side.\r
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\n" ); document.write( "\n" ); document.write( "You can replace then sin(90.3 degree) by 1; it gives you the value for the area of the triangle $\"%281%2F2%29%2A16%2A17%29\"$ = 8*17 = 136 square centimeters,\r
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\n" ); document.write( "\n" ); document.write( "which is VERY FAR from the given value of 41 square centimeters.\r
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