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MathNet 2003 — Part 02 Question 24

Math Olympiad Vault · MathNet 2003 — Part 02

Question 24

A point inside an equilateral triangle is $5$, $7$, $8$ from the three sides. What is the side of the triangle worth?
  1. There is not enough data
  2. the given configuration cannot exist
  3. the side is $20$
  4. the side is worth $14 \sqrt{3}$
  5. the side is $\frac{40}{3} \sqrt{3}$.