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正三角形的內切圓, 圓心到三邊的距離相等, 到三角形兩邊距離相等的點的集合是三角形的角平分線, 所以圓心在三角形三條角平分線的交點上, 在正三角形中,角平分線和高和中線是重合的. 所以圓的半徑等於三角形高的三分之一, r=根號3
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