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MathNet 2009-part-02 — 175 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 92

In the diagram given below, the triangles $\triangle OAB$, $\triangle OBC$, $\triangle OCD$ are isosceles right triangles with $\angle OAB$, $\angle OBC$, $\angle OCD$ being the right angle, respectively. Find the area of the triangle $\triangle OAB$ if the area of the triangle $\triangle OCD$ is $12$.

Question illustration