Find the area of the triangle. Round the answer to the nearest tenth.
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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.