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MathNet 2026 — Part 02 Question 128

Math Olympiad Vault · MathNet 2026 — Part 02

Question 128

Two congruent right triangles have measurement legs $4~\mathrm{cm}$ and $7~\mathrm{cm}$. In the figure below, on the left, the triangles were designed to match the legs of $7~\mathrm{cm}$. Thus, $AB=7~\mathrm{cm}$ and $AD=BC=4~\mathrm{cm}$. In the figure on the right, they were designed to match the hypotenuses from where, $AD=BC=4~\mathrm{cm}$ and $AC=BD=7~\mathrm{cm}$. Question illustration Calculate the shaded areas in the two figures. Question illustration