<prompt> Calculate the area of a triangle given two sides and the angle between them.Side 1 6, Side 2 8, Angle 30  <response>: The formula to calculate the area of a triangle given two sides and the angle between them is: 12 side1 side2 sinangleTherefore, plugging in the values for side 1, side 2, and the angle, we have:Area 12 6 8 sin30Area 24 sin30Area 12 square unitsThe area of the triangle with sides of length 6 and 8 and an angle of 30 degrees between them is 12 square units. 