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IMAS 2014 Junior Round 1 Question 19

IMAS · IMAS 2014 Junior Round 1

Question 19

The diagram shows two right triangles $OAC$ and $OBD$. The lengths of three of the segments $AB$, $AC$, $CD$ and $DB$ are 12 cm, 6 cm and 3 cm. What is the number of possible lengths, in cm, of the fourth segment?

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