2012 · Q69
Let ABC be a triangle with AB = 3 cm, AC = 5 cm. If AD is a median drawn from the vertex A to the side BC, then which one of the following is correct?
Elementary MathematicsGeometry
- AAD is always greater than 4 cm but less than 5 cm
- BAD is always greater than 5 cm
- CAD is always less than 4 cm
- DNone of the above
Explanation
By Apollonius, AD^2 = (2*9+2*25-BC^2)/4 < 16 since BC > 2, so AD < 4 cm always.