SOLUTION: A horse is tied with a 21 m long rope to the corner of a field which is in the shape of an equilateral triangle. Find the area of the field over which it can graze.

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Question 815581: A horse is tied with a 21 m long rope to the corner of a field which is in the shape of an equilateral triangle. Find the area of the field over which it can graze.
Answer by Alan3354(69443) About Me  (Show Source):
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A horse is tied with a 21 m long rope to the corner of a field which is in the shape of an equilateral triangle. Find the area of the field over which it can graze.
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If the altitude of the triangle >= 21 m, then
Area = (1/6)*pi*r^2
= 147pi/2 sq meters
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If the side of the triangle <= 21 m, then
Area = area of the triangle.
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Between those 2, you'll have to spec the side length of the triangle.