SOLUTION: Find the measuring angle and side measures of triangle abc, given angle a equals 20 degrees, angle c equals 90 degrees, and CB=20

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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
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
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,
sin%2870%29=x%2F20
so
x=20sin%2870%29
Further, we know that
x%5E2%2B20%5E2=z%5E2
So,
z=sqrt%28x%5E2%2B400%29