document.write( "Question 299857: i have a triangle with sides 8,7, 10 . i must find the measure of the angle opposite of side 10. please help if possible. thank you \n" ); document.write( "
Algebra.Com's Answer #215381 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! : i have a triangle with sides 8,7, 10 . i must find the measure of the angle opposite of side 10. please help if possible. thank you \n" ); document.write( ": \n" ); document.write( "We can use the law of cosines here \n" ); document.write( "Assign the sides as follows \n" ); document.write( "a=8, b=7, c=10, then C = angle opposite 10 \n" ); document.write( ": \n" ); document.write( "a^2 + b^2 - 2bc*cos(C) = c^2 \n" ); document.write( "using the above values \n" ); document.write( "8^2 + 7^2 - 2(8*7) * cos(C) = 10^2 \n" ); document.write( "64 + 49 - 2(56)*cos(C) = 100 \n" ); document.write( "113 - 112*cos(C) = 100 \n" ); document.write( "-112*cos(C) = 100 - 113 \n" ); document.write( "cos(C) = \n" ); document.write( "cos(C) = +.11607 \n" ); document.write( "C = 83.33 degrees \n" ); document.write( ": \n" ); document.write( "That's the procedure, but check my math \n" ); document.write( " \n" ); document.write( " |