Answer:
The area of the triangle is 20.2 square units
Step-by-step explanation:
The formula of the area of triangle LMN using trigonometry is:
A = [tex]\frac{1}{2}[/tex] (LM)(LN)(sin∠L), where ∠L is the including angle between the two sides LM and LN
∵ LM = 10 units
∵ LN = 5 units
∵ m∠L = 54°
- Substitute them in the formula of the area above
∴ A = [tex]\frac{1}{2}[/tex] (10)(5)(sin 54°)
∴ A = 25(sin 54°)
∴ A = 20.22542486 square units
- Round it to the nearest tenth of a square units
∴ A = 20.2 square units
