in the given figure bx is the angle bisector of angle ABC ,E is mid point of AD and D is the mid point of BC then BE/EX is
Answers
BE/EX = 3/1 if bx is the angle bisector of angle ABC ,E is mid point of AD and D is the mid point of BC
Step-by-step explanation:
E is mid point of AD
=> Area of ΔABE = Area of ΔDBE
Area of ΔAXE = Area of ΔDXE
Area of ΔBXD = Area of ΔCXD
D is the mid point of BC
=> Area of ΔABD = Area of ΔACD
=> Area of ΔABE + Area of ΔDBE = Area of ΔAXE + Area of ΔDXE + Area of ΔCXD
=> Area of ΔABE + Area of ΔABE = Area of ΔAXE + Area of ΔAXE + Area of ΔBXD
=> 2 Area of ΔABE = 2Area of ΔAXE + Area of ΔDBE + Area of ΔDXE
=> 2 Area of ΔABE = 2Area of ΔAXE + Area of ΔABE + Area of ΔAXE
=> Area of ΔABE = 3Area of ΔAXE
=> Area of ΔABE/Area of ΔAXE = 3/1
=> BE/XE = 3/1
=> BE/EX = 3/1
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