document.write( "Question 169392: Will you please help. I'm stuck.
\n" ); document.write( "Solve triangle ABC if C=90 degrees, B=20 degrees, and b=10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. I have to show my work, and don't understand how to do this.
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #124880 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since it's a triangle you know that,
\n" ); document.write( " $\"A%2BB%2BC=180\"$
\n" ); document.write( " $\"A%2B90%2B20=180\"$
\n" ); document.write( " $\"A=70\"$
\n" ); document.write( "I'm assuming that b is the side across from angle B.
\n" ); document.write( "Since one of the angle is 90 degrees, it's a right triangle and
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( "Also from trig,
\n" ); document.write( " $\"sin%2820%29=b%2Fc\"$
\n" ); document.write( " $\"tan%2820%29=a%2Fc\"$
\n" ); document.write( " $\"sin%2820%29%2Fcos%2820%29=%28b%2Fc%29%2F%28a%2Fc%29=b%2Fa\"$
\n" ); document.write( " $\"tan%2820%29=b%2Fa\"$
\n" ); document.write( " $\"a=b%2Ftan%2820%29\"$
\n" ); document.write( " $\"a=10%2Ftan%2820%29\"$
\n" ); document.write( " $\"a=10%2F0.36397\"$
\n" ); document.write( " $\"a=27.47\"$
\n" ); document.write( "and from above,
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( " $\"%2827.47%29%5E2%2B10%5E2=c%5E2\"$
\n" ); document.write( " $\"754.86%2B100=c%5E2\"$
\n" ); document.write( " $\"c%5E2=854.86\"$
\n" ); document.write( " $\"c=29.24\"$
\n" ); document.write( "Angles to the nearest degree,
\n" ); document.write( "A=70
\n" ); document.write( "B=20
\n" ); document.write( "C=90
\n" ); document.write( "Sides to the nearest tenth,
\n" ); document.write( "a=27.5
\n" ); document.write( "b=10
\n" ); document.write( "c=29.2 \n" ); document.write( "

\n" );