# Diameter of the largest circular pond in a triangular garden

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Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.

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#### Solution Preview

The in center is the center of the incircle, the inscribed circle of the triangle

The vertices of the triangle are ABC and the sides of the triangle are a,b,c

Point x cordinate y cordinate

A 18 54

B -27 36

C 27 -18

a = | BC|= 76.3675 ...

#### Solution Summary

Finds the diameter of the largest circular pond that could fit in a triangular garden.

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