The price of a triangular garden

A plot of land is described as a triangle with sides 5555, 6262, and 117117 yards, priced at $1010 per square yard. What is the total cost of the plot?

Show hints (2)+
  1. Before computing area, check the triangle inequality on 55,62,11755, 62, 117.
  2. 55+62=11755+62=117 - the triangle is degenerate (zero area).

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Asked at: Jane Street, IMC

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