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#Pyth, 34 30 bytes
KCcQ2c.asm*@hKd-@eKhd@eKtdU3 2
Try it online.
Works by calculating abs(a*(d-f) + c*(f-b) + e*(b-d))/2 from input a,b,c,d,e,f.
#Pyth, 3434 30 bytes
KCcQ2c.asm*@hKd-@.<eK1d@.>eK1dU3@eKhd@eKtdU3 2
Try it online.Try it online.
#Pyth, 34 bytes
KCcQ2c.asm*@hKd-@.<eK1d@.>eK1dU3 2