# In Fig. 10.25, <i

Consider the figure,

Given,

AB = AC

DB = DC

To find: Ratio ABD =ACD

Now, are isosceles triangles

Since, AB = AC

And,

DB = DC

Therefore, ABC = ACB and,

DBC = DCB (Angle opposite equal sides)

Now, consider ABD: ACD

(ABC - DBC): (ACB - DCB)

(ABC - DBC): (ABC - DBC) [Since, ABC = ACB and DBC = DCB]

1: 1

Therefore, ABD: ACD = 1:1

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