**Problem of the week**

**Given a semicircle with diameter ***EF ***as indicated, triangle**

*ABC ***with ***A** ***lying on the diameter, and ***B ***and ***C ***on the semicircle. ***AD*

**bisects**** ****∠***BAC***, ***BE ***bisects ****∠***ABC***, and ***CF ***bisects ****∠***ACB***. If ***AB ***= 6,**

*AC ***= 3, ***BC ***= 7, and ***AD **⊥ **EF***, find ***AD***.**

Send your solution by 12 Aug 2017 on
pow@madanpur.in

Correct solution received from:

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