Given: △AFD, m∠F=90°

DF=7√3, m∠D=30°

Find: Area of △AFD

Using the definition of the tangent function, you can find ...

... FA = DF·tan (30°) = (7√3) · (1/√3) = 7

Then the usual formula for triangle area can be used:

... Area = (1/2) bh = (1/2) · (7√3) (7)

... Area = (49/2) √3 square units

... ≈ 42.44 square units