Question

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

Answer 1

The answer to this question is 84.5 square units

I hope this helps!!!!!!

Answer 2

Option A

Explanation:

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

Area = (side1) (side2)
`((sin\theta))/(2)`

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 ×
`(sin54*)/(2)`

`=169*(0.809)/(2)`

= 68.36 ≈ 68.4 square units.

Option A is the answer.