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

Correct solution received from: