1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.
2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?
1. If the right angle is at ABC, then the base is 6 and the height is 8, so use the formula to get 6*8/2=48/2=24.
2. Since the angles of a triangle add to 180, BAC=180-135-30=180-165=15.
