document.write( "Question 436501: In a triangle three sides measure: 12, 18 and 24. What is the measure of the smallest angle, to the nearest degree? Choices are: a) 29 b) 47 c) 76 and d) 22. I know I need to use a formula to solve it but not sure how to go about that? \n" ); document.write( "

Algebra.Com's Answer #302030 by Alan3354(69443) $\"\"$ $\"About$

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In a triangle three sides measure: 12, 18 and 24. What is the measure of the smallest angle, to the nearest degree? Choices are: a) 29 b) 47 c) 76 and d) 22. I know I need to use a formula to solve it but not sure how to go about that?
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\n" ); document.write( "The smallest angle is opposite the shortest side, so the sides adjacent to the angle are 18 and 24.
\n" ); document.write( "Use the Law of Cosines
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\n" ); document.write( " $\"12%5E2+=+18%5E2+%2B+24%5E2+-+2%2A18%2A24%2Acos%28A%29\"$
\n" ); document.write( " $\"-864cos%28A%29+=+144+-+324+-+576+=+-756\"$
\n" ); document.write( "cos(A) = 756/864 =~ 0.88541667
\n" ); document.write( "angle A =~ 27.7 degs
\n" ); document.write( "Closest to a) 29, but doesn't match any \n" ); document.write( "

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