document.write( "Question 1029643: The area of ΔPQR is 18. If p = 6 and q = 8, find all of the possible measures of ∠R \n" ); document.write( "

Algebra.Com's Answer #644597 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The area of ΔPQR is 18. If p = 6 and q = 8, find all of the possible measures of ∠R
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document.write( "The area of a triangle is equal half the product of the dimensions of its two sides by the sine of the angle between them:\r\n" );
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document.write( "S = .\r\n" );
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document.write( "In other words,\r\n" );
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document.write( "18 = ,   or\r\n" );
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document.write( "18 = ,   or\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "There are two solutions for :\r\n" );
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document.write( "1)  =  = 0.848 rad = 48.6°  (acute angle),  and/or\r\n" );
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document.write( "2)  = 180 - 48.6 = 131.4° (obtuse angle). \r\n" );
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