Answer:
8.4 square units
Step-by-step explanation:
The area of the triangle can be calculated using two sides and an included angle as follows:
area = 0.5 * 1st side * 2nd side * sin(angle included between them)
............> This is shown in the attached image
In the given triangle, we have:
the two sides 2*√2 and 6 units
the angle included between them is 80°
Therefore, we can apply the above rule to get the area as follows:
area = 0.5 * 2√2 *6* sin(80°)
area = 8.35 which is approximately 8.4 square units
Hope this helps :)