document.write( "Question 1089596: I would really appreciate some help with this question, please help me.
\n" );
document.write( "Thank you .
\n" );
document.write( "Construct accurately ∆ABC𝐴𝐵𝐶 where AB 𝐴𝐵 = 6cm∠CAB𝐶𝐴𝐵 = 70°, and ∠ = 𝐴𝐵𝐶 = 65°
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #704277 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Drawing this helps. \n" ); document.write( "Angle C must be 45 degrees. \n" ); document.write( "use law of sines \n" ); document.write( "a/sin A=b/sin B=c/sin C \n" ); document.write( "c=6 \n" ); document.write( "6/sin 45=6/sqrt(2)=8.49 \n" ); document.write( "Therefore \n" ); document.write( "8.49=a/sin A and a=8.49 sin 70=7.98 cm for a \n" ); document.write( "b/sin B=8.49=b/sin 65 \n" ); document.write( "b=8.49*sin 65=7.69 cm. \n" ); document.write( "Can be fancy and check one using law of cosines. \n" ); document.write( "a^2=b^2+c^2-2bc cos A=59.2+36-2(6*7.69)cos 70\r \n" ); document.write( "\n" ); document.write( "that is 95.2-92.28*cos 70=95.2-31.56=63.64, which is a^2 \n" ); document.write( "a=7.98 \n" ); document.write( "so a=7.98, b=7.69 c=6 \n" ); document.write( " |