1. The problem statement, all variables and given/known data If the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is decreasing at a rate of 3 inches per minute, which of the following must be true about the area A of the triangle? a. A is always increasing b. A is always decreasing c. A is decreasing only when b < h d. A is decreasing only when b > h e. A remains constant Correct answer is d. A is decreasing only when b > h 2. Relevant equations 3. The attempt at a solution I don't understand why the answer is d. If the area of a triangle is (1/2)(base)(height) and the base increases by 3 while the height decreases by 3, wouldn't they just cancel out each other? Moreover, I don't understand why the area would only be decreasing when the base is bigger than the height and not vice versa. But I guess I won't understand this part until I understand why the area can't be constant.