Proof: the area of the diamond is equal to half of the product of two diagonals

Proof: the area of the diamond is equal to half of the product of two diagonals

It is proved that in diamond ABCD, ∵ AC ⊥ BD, ∵ s = s △ ABC + s △ ADC = 12ac · ob + 12ac · od = 12ac (OB + OD) = 12ac · BD. (9 points)