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MathNet 2019-part-07 — 184 problems (EN–VI) Question 118

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 118

A right triangle $ABC$ is called *special*, if the lengths of its sides $AB$, $BC$ and $CA$ are integers, and there is a point $X$ on each side (different from the vertices of $\triangle ABC$), for which lengths of $AX$, $BX$ and $CX$ are integers. Find at least one special triangle.

Question illustration
**Fig. 11**