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MathNet 2026 — Part 01 Question 40

Math Olympiad Vault · MathNet 2026 — Part 01

Question 40

A pirate decided to bury a treasure on an island. To do so, he walked from the tree $A$ to the rock $R_{1}$, and then the same distance and in the same direction to point $X$. He did the same in relation to the entrance of the cave $C$ and in relation to the rock $R_{2}$, reaching points $Y$ and $Z$, respectively. He buried the treasure in $T$, midpoint of $AZ$. Question illustration Figure 54.1 Upon returning to the island to dig up the treasure, the pirate found the rocks and the cave, but did not find the tree. How can the pirate discover the treasure?