Running inside a Pythagorean Triangle

Geometry Level 3

Diagram above is not to scale.

Kevin went to a park for a refreshing run. The park had the shape and dimensions of the pythagorean triangle (3,4,5).

He ran from point B to point C by choosing the following path


Points (A1, A2, A3,........) on AC are shortest distances from points (B, B1, B2,.....) on BC respectively

Similarly, Points (B1, B2, B3,........) on BC are shortest distances from points (A1, A2, A3,.....) on AC respectively

Assuming Kevin is a point. Find the total distance covered by Kevin by taking the above path running from B to C?

Source: Own Work


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