Question

what is the area of triangle lmn?

12 square units
14 square units
15 square units
24 square units

Explanation:

Identify the coordinates of the vertices

$$ L = (-1, 2),\quad M = (-1, -4),\quad N = (4, -4) $$

Determine the base and height of the right triangle

$$
LATEXBLOCK0
$$

Calculate the area of the triangle

$$ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 5 \times 6 = 15 $$

Answer:

• 12 square units
• 14 square units
• 15 square units (Correct answer)
• 24 square units