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MathNet 2018-part-05 — 181 problems (EN–VI) Question 117

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 117

Three squares are inscribed in a right triangle $ABC$ with the right angle at $B$, as shown in the figure. The sides of the two smaller squares have lengths 3 and 4 units, respectively. Calculate the length of the side $AC$ of triangle $ABC$.

Question illustration