Q. 114.2( 5 Votes )

In Fig. 10.25, AB = AC and DB = DC, find the ratio ABD:ACD.


Answer :

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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