(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Which of the following must be true about the area A of the triangle?

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