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  1. AD is perpendicular to the internal bisector of ∠ABC of ∆ABC. DE is drawn through D and parallel to BC to meet AC at E. If the length of AC is 12 cm, then the length of AE (in cm.) is
    1. 3
    2. 8
    3. 4
    4. 6
Correct Option: D

On the basis of given in question , we draw a figure triangle ABC ,

DE || BC and E is the mid-point of AC.

∴ AE =
1
AC
2

AE =
1
× 12 = 6cm.
2



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