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2025 VIMC keystage3-IWYMIC individual Question 4

xIMC · 2025 VIMC keystage3-IWYMIC individual

Question 4

In the diagram below, $ABC$ is a triangle with $AB=13$ cm, $BC=12$ cm and $AC=5$ cm. Inside this triangle, we consider two equal circles, that are externally tangent to each other, such that one of them is tangent to sides $AB$ and $BC$, and the other one is tangent to sides $BC$ and $AC$. What is the length, in cm, of the radius of each circle?

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