So DF and EF are the median lines on the hypotenuse of right angles △ABD and △ABE, respectively.
So df = ab/2, ef = ab/2.
So df = ef = 4.
Because h is the midpoint of DE.
Therefore, according to the nature of "Trinity": FH⊥DE
Because ∠ c = 60.
So ∠ DAC = 30.
So DC/AC = 1/2.
Similarly, EC/BC = 1/2.
So DC/AC = EC/BC
Because ACB = DCE = 60.
So △ CDE △ taxi
So DE/AB = DC/AC = 1/2.
Because ab = 8
So de = 4
So DH = eh = 2
So according to Pythagorean theorem FH = 2 √ 3.
Qiuna