如图所示,圆O内切于三角形ABC,点DEF分别是切 - 知识问答

如图所示,圆O内切于三角形ABC,点DEF分别是切点若圆O的半径为2√3,∠C=60度,AC=9,BC=14,求三角形A

2个回答

如D在AB上,E 在BC上,F在AC上,
连接OE,OF,OC因OE = OF = 2√3,∠C = 60°
则 OC = 4√3 ,CE = CF = 6
AF = AD = 9-6 = 3
BD = BE = 14 - 6 = 8
AB = 8 3 = 11
AB BC AC = 11 9 14 = 34

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