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- Jan 26, 2012
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Thanks again to those who participated in last week's POTW! Here's this week's problem!
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Problem: A triangular field is to be enclosed by $p$ feet of fencing so as to maximize the area of the field. Find the lengths of the sides of this triangle.
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Hint:
Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: A triangular field is to be enclosed by $p$ feet of fencing so as to maximize the area of the field. Find the lengths of the sides of this triangle.
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Hint:
Heron's formula for the area of a triangle with side lengths $x$, $y$ and $z$ is $A=\sqrt{s(s-x)(s-y)(s-z)}$, where $s=\frac{1}{2}(x+y+z)$ is the semiperimeter.
Remember to read the POTW submission guidelines to find out how to submit your answers!