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A =26 cm^2

Step-by-step explanation:

The area of a triangle is found by

A = 1/2 bh  where b is the base and h is the height

A = 1/2 (6.5) * 8

A =26 cm^2

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)