In triangle EFG, tan∠GEF = 22/7, and the altitude from E divides FG into segments of length 3 and 17.
Determine the area of triangle EFG.
Denote the height to base FG by h, hits the base at the point K.
The positive root of the quadratic equation
turns to be h=11
so the area is 110 (square units)
Rem: a high school textbook problem