A circle inside a triangle?

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/18 04:10:31

A circle inside a triangle?
Triangle ABC has AB = 240,BC = 270,AC = 330.What is the area of the largest possible circle that fits entirely within this triangle?
Sorry about the English,I can't type Chinese in this computer.Please help me?

if you can't browes chinese tell me.
我在外面时可以看中文,相信楼主也是.先用中文写解答.
正弦定理：a/sinA=b/sinB=c/sinC
余弦定理：cosA=（b*2+c*2-a*2）/2bc,b*2表示：b的2次方.
A表示角度,a表示A相对边的长度.
三角形三边边长给定,三角形确定.
求内部最大圆得面积,也就是求内切圆面积.设圆心为O
由余弦定理求出某两个角比如A,C的角度
OA、OC分别为角A、C的平分线
在三角形ACO中,两角上面求出了,角AOC也就求出了,过O作AC垂线,垂足T就是切点.
由正弦定理得AO,OC长度,然后求OT长度,为76.06,
也就是内切圆的半径为76.06
圆面积为18176.36

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