Question

三角形与内接圆已知三角形的内接圆与AC,AB,BC,切于D,E,F且AB=5cm BC=9cm AC=6cm 求AE,B

Answer 1

连接OA,OB,OC,OD,OE,OF

OE = OF 圆O为内切圆

==>BE = BF

同理

==>AE = AD,CD = CF

令 BF = x

==>AE = 5-x,CF = 9-x;

==>CD = 1+x;

由 CD = CF

==>1+x = 9-x

==>x = 4

==>AE = 1,BF = 4,CD = 5