Area Inside an Obtuse Triangle

Geometry Level 4

Triangle ABCABC has an obtuse angle at BB, base BCBC has length equal to 3030 and height equal to 2424. (This height is taken with respect to base BCBC). DD is a point on the line segment BCBC and EE is a point on ACAC such that DEABDE \parallel AB. FF is a point on AB AB such that FDACFD \parallel AC. As DD varies within line segment BCBC, what is the maximum value of [DEF] [DEF] ?

Details and assumptions

[PQRS][PQRS] denotes the area of the figure PQRSPQRS.

×

Problem Loading...

Note Loading...

Set Loading...