In Δ LMN, LM=10,LN=5, AND M< L=54*. FIND THE AREA OF LMN TO THE NEAREST TENTH OF A SQUARE UNIT

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 = (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 = (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

9x