document.write( "Question 1121733: In ABC, A=45 degrees, b=15 cm and c=22 cm. Find the area of the triangle. \n" ); document.write( "
Algebra.Com's Answer #737714 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Find a by Law of Cosines: \n" ); document.write( "a^2=b^2+c^2-2bc cos A \n" ); document.write( "a^2=225+484-2(330) cos 45 \n" ); document.write( "=709-660(0.7071)=709-466.69=242.31 \n" ); document.write( "sqrt(242.31)=15.6 (rounded) \n" ); document.write( "length of all 3 sides combined is 52.6 and half of it, 26.3, is s \n" ); document.write( "sqrt(s*(s-a)(s-b)(s-c))=sqrt(26.3*11.3*4.3*10.7)=sqrt (13673.71) \n" ); document.write( "=116.9 cm^2 (Hero's Formula) \n" ); document.write( " |