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mayank davaggar

· started a discussion

· 1 Months ago

solution to do

Question:

Side of a triangle ABC are AB = 12, BC = 18 and AC = 10. There is a point D on BC such that both incircles of triangles ABD and ACD touch AD at a common point E. Length of CD is -  


Options:
A)

8

B)

12

C)

16

D)

Can't be determined

Solution:

Ans: (a)


Jagdish Yadav

· commented

· 1 Months ago

I have solved this answer is correct. Marks points of tangents and use the property that tangents from a point outside the circle are of equal length. Solution is bit tricky. After finding equations it is more of Algebra question than geometry.

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