Engineering Board Exam Reviewer · Optimization (Maxima and Minima) · easy
The sum of the base and height of a triangle is 20 cm. Find the height that maximizes the area of the triangle.
- 10 cm
- 5 cm
- 15 cm
- 20 cm
Answer
A. 10 cm
Solution
Let b=20-h. Area = 12bh=20h-h2/2. d( Area)dh=20-2h/2=0 h=10.
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