Question

what is the area of triangle lmn?

3 square units
4 square units
6 square units
8 square units

Explanation:

Identify the coordinates of the vertices

Using the Area of Polygons knowledge point

$$ L = (1, -1),\quad M = (3, 2),\quad N = (1, 3) $$

Determine the base and height of the triangle

Using the Area of Polygons knowledge point

$$
LATEXBLOCK0
$$

Calculate the area of triangle LMN

Using the Area of Polygons knowledge point

$$ \text{Area} = \frac{1}{2} \times b \times h = \frac{1}{2} \times 4 \times 2 = 4 $$

Answer:

• 3 square units
• 4 square units (Correct answer)
• 6 square units
• 8 square units