document.write( "Question 562537: Find the measuring angle and side measures of triangle abc, given angle a equals 20 degrees, angle c equals 90 degrees, and CB=20 \n" ); document.write( "

Algebra.Com's Answer #364615 by issacodegard(60) $\"\"$ $\"About$

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Let x=AC and z=BA. The third angle is 180-(20+90)=70 degrees. To find x, we realize that the triangle is a right triangle with legs AC and CB and hypotenuse BA. Therefore,
\n" ); document.write( " $\"sin%2870%29=x%2F20\"$
\n" ); document.write( "so
\n" ); document.write( " $\"x=20sin%2870%29\"$
\n" ); document.write( "Further, we know that
\n" ); document.write( " $\"x%5E2%2B20%5E2=z%5E2\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"z=sqrt%28x%5E2%2B400%29\"$ \n" ); document.write( "

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