A round fountain in a triangular lawn touches all three edges. The edges are AB = 12 m, BC = 8 m and CA = 10 m. How far is corner A from the nearest points of contact?

Question

Accepted Answer

7 m. Half the perimeter s = (12 + 8 + 10)/2 = 15 m. Tangent length from A = s − BC = 15 − 8 = 7 m. (From B it is 5 m and from C it is 3 m.)

A round fountain in a triangular lawn touches all three edges. The edges are AB = 12 m, BC = 8 m and CA = 10 m. How far is corner A from the nearest points of contact?

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