Respuesta :

The answer to this question is 84.5 square units

I hope this helps!!!!!!

Answer:

Option A

Step-by-step explanation:

Area of a triangle with two sides and one acute angle is represented by

Area = (side1) (side2) [tex]\frac{(sin\theta)}{2}[/tex]

where θ is an angle between the side.

Side 1 = 13 [given]

Side 2 = 13 [given]

Since ∠EDF = 63°

So ∠EFD = 63° [ equilateral triangle]

Therefore, ∠DEF = 180 - [63 -63]

                              = 180° - 126°

                             = 54°

Now area will be A = 13 × 13 × [tex]\frac{sin54*}{2}[/tex]

                        [tex]=169\times\frac{0.809}{2}[/tex]

                               = 68.36 ≈ 68.4 square units.

Option A is the answer.

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