document.write( "Question 1138029: The area of triangle PQR is 18. If p = 6 and q = 8, find all possible measures of angle R. Round your answers to the nearest tenth.
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Algebra.Com's Answer #755960 by ikleyn(52797) $\"\"$ $\"About$

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document.write( "For each triangle, its area is half of the product of the lengths of any its two sides and the sine of the angle between them.\r\n" );
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document.write( "In particular, for your triangle PQR\r\n" );
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document.write( "    its area = ,   or\r\n" );
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document.write( "    18 = ,\r\n" );
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document.write( "    18 = 24*sin(R).\r\n" );
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document.write( "It gives\r\n" );
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document.write( "    sin(R) =  =  = 0.75.\r\n" );
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document.write( "Therefore, R may have two and only two values\r\n" );
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document.write( "    1)  R = arcsin(0.75)             (acute angle),   and\r\n" );
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document.write( "    2)  R = 180° - arcsin(0.75)      (obtuse angle)\r\n" );
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