document.write( "Question 1112168: Given that the perimeter of a triangle is 180 in. If the angles of the triangle are in the ration 5:6:7. Determine the sides of the triangle. \n" ); document.write( "
Algebra.Com's Answer #727174 by Alan3354(69443)\"\" \"About 
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Given that the perimeter of a triangle is 180 in. If the angles of the triangle are in the ration 5:6:7. Determine the sides of the triangle.
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\n" ); document.write( "The angles are 50, 60 & 70 degs
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\n" ); document.write( "A = 50
\n" ); document.write( "B = 60
\n" ); document.write( "C = 70
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\n" ); document.write( "Pick a number for one of the sides.
\n" ); document.write( "eg, side a = 5
\n" ); document.write( "Find sides b & c:
\n" ); document.write( "a/sin(A) = b/sin(B) = c/sin(C)
\n" ); document.write( "5/sin(50) = b/sin(60)
\n" ); document.write( "b = (5*sqrt(3)/2)/sin(50)
\n" ); document.write( "b =~ 5.6526
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\n" ); document.write( "5/sin(50) = c/sin(70)
\n" ); document.write( "c = 5*sin(70)/sin(50)
\n" ); document.write( "c =~ 6.1334
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\n" ); document.write( "a + b + c =~ 16.786
\n" ); document.write( "Adjust to make the sum 18
\n" ); document.write( "a = 5*(18/16.786) = 5.3616
\n" ); document.write( "b = 5.6526*(18/16.786) = 6.0614
\n" ); document.write( "c = 6.1334*(18/16.786) = 6.577
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