# So Many Circles

Geometry Level 2

An isosceles right triangle $$ABC$$ where $$AB = BC = 5$$ and $$\angle ABC = 90 ^ \circ$$ is divided into $$25$$ congruent right triangles. Each right triangle has an incircle (as shown in the diagram). Find the sum of the radii of all $$25$$ incircles. Report your answer to two decimal places.

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