document.write( "Question 290049: Solve for all possible triangles that satisfy a=9, b=13, measure of angle b=67 degrees. Round all values to the nearest tenth.
\n" ); document.write( "I know it is a lot of work, so i did part of it already :]
\n" ); document.write( "Since you know 2 sides and an angle. I can use law of sine to find a second angle. Since all the interior angles of a triangle is equal to 180 degrees, I can find the third angle. After this, I'm not too sure how to find the possible \"multiple\" types of triangles there are. Please help! Thank-you! \n" ); document.write( "
Algebra.Com's Answer #209945 by dabanfield(803)\"\" \"About 
You can put this solution on YOUR website!
Solve for all possible triangles that satisfy a=9, b=13, measure of angle b=67 degrees. Round all values to the nearest tenth.
\n" ); document.write( "I know it is a lot of work, so i did part of it already :]
\n" ); document.write( "Since you know 2 sides and an angle. I can use law of sine to find a second angle. Since all the interior angles of a triangle is equal to 180 degrees, I can find the third angle. After this, I'm not too sure how to find the possible \"multiple\" types of triangles there are. Please help! Thank-you!\r
\n" ); document.write( "\n" ); document.write( "You're doing GREAT!. You can find angle \"a\" using the law of sines:\r
\n" ); document.write( "\n" ); document.write( "(sin a)/9 = (sin 67)/13\r
\n" ); document.write( "\n" ); document.write( "Once you have angle \"a\" (the angle with sin(a) above) then you can find angle \"c\" as you said by subtracting 67 and angle \"a\" from 180.\r
\n" ); document.write( "\n" ); document.write( "Now that you have angle \"c\" you can find side \"c\" by:\r
\n" ); document.write( "\n" ); document.write( "(sin 67)/13 = (sin c)/c \r
\n" ); document.write( "\n" ); document.write( "Now you have all three sides and all three angles. Based on the side-side-side congruence theorem this defines a unique triangle. \n" ); document.write( "
\n" );