Answer:

Step-by-step explanation:
Triangle ABC is right triangle. Since m∠ACB = 90° and m∠ACD = 60°, you get m∠BCD = 90°-60°=30°.
Triangle BCD is rigth triangle, then the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

By the Pythagorean theorem,

Then

Hypotenuse AB of the triangle ABC is equal to

The area of the triangle ABC is
