A triangle has sides of lengths 3 units, 4 units, and 5 units. This triangle is known as a right triangle because it follows the Pythagorean theorem, which states that for a right triangle with sides of lengths 'a' and 'b', and hypotenuse 'c', the relationship is given by the equation:
$$a^2 + b^2 = c^2$$
Using this triangle, determine if the statement below is true or false:
'The area of triangle ABC is less than 10 square units.'