document.write( "Question 93616This question is from textbook
\n" ); document.write( ": If a given triangle ABC with a = 12, b = 10 and c = 8, please help me find the angles in minutes.
\n" ); document.write( "angle A = _____________
\n" ); document.write( "angle B = _____________
\n" ); document.write( "angle C = _____________
\n" ); document.write( "

Algebra.Com's Answer #68205 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
If a given triangle ABC with a = 12, b = 10 and c = 8, please help me find the angles in minutes.
\n" ); document.write( ":
\n" ); document.write( "Using the law of cosines: a^2 = b^2 + c^2 - 2bc*Cos(A)
\n" ); document.write( ":
\n" ); document.write( "Rearrange formula to find Angle A
\n" ); document.write( "Cos(A) = \"%28b%5E2+%2B+c%5E2+-+a%5E2%29%2F%282bc%29\"
\n" ); document.write( ":
\n" ); document.write( "Cos(A) = \"%2810%5E2+%2B+8%5E2+-+12%5E2%29%2F%282%2A10%2A8%29\"
\n" ); document.write( ":
\n" ); document.write( "Cos(A) = \"%28100+%2B+64+-+144%29%2F%28160%29\" = \"20%2F160\" = .125
\n" ); document.write( ":
\n" ); document.write( "A = 82.81924422 degrees
\n" ); document.write( "Find the minutes, mult the decimal portion times 60:
\n" ); document.write( "A = 82 degree, 49.15 minutes
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Find Angle B
\n" ); document.write( "Cos(B) = \"%28a%5E2+%2B+c%5E2+-+b%5E2%29%2F%282ca%29\"
\n" ); document.write( ":
\n" ); document.write( "Cos(B) = \"%2812%5E2+%2B+8%5E2+-+10%5E2%29%2F%282%2A8%2A12%29\"
\n" ); document.write( ":
\n" ); document.write( "Cos(B) = \"%28144+%2B+64+-+100%29%2F%28192%29\" = \"108%2F192\" = .5625
\n" ); document.write( ":
\n" ); document.write( "B = 55.77113367 degrees
\n" ); document.write( "Find the minutes, mult the decimal portion times 60:
\n" ); document.write( "B = 55 degrees, 46.28 minutes
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Find Angle C by subtracting the known angles from 180:
\n" ); document.write( ":
\n" ); document.write( "180 - 82.81924422 - 55.77113367 = 41.40962211
\n" ); document.write( "Which is:
\n" ); document.write( "C = 41 degrees, 24.58 minutes
\n" ); document.write( ":
\n" ); document.write( "Did this help you?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );