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MathNet 2009-part-03 — 175 problems (EN–VI) Question 79

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 79

The perimeter of a right triangle is $90~\mathrm{cm}$. The squares of the lengths of its sides sum up to $3362~\mathrm{cm}^2$. What is the area of the triangle?