A point P is randomly placed in the interior of the right triangle above. What is the probability that the area of triangle PBC is less than half of the area of triangle ABC? Express your answer as a common fraction.
Since they are on the same base , CB......triangle PBC will have an area less than (1/2) of triangle ABC when the height of PBC is less than (1/2) of AC
So......the probability is 1 / 2