Question

What is the area of the triangle with vertices (-1,3), (-3,-1), and (-3,-2)?

a) 3 square units
b) 6 square units
c) 7 square units
d) 9 square units

Answer 1

The area of the triangle with vertices (-1,3), (-3,-1), and (-3,-2) is 3 square units.

Step-by-step explanation:

To find the area of a triangle, you can use the formula: Area = 1/2 * base * height. In this case, the triangle has vertices (-1,3), (-3,-1), and (-3,-2). We can use the distance formula to calculate the base and height of the triangle. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula: distance = √((x₂ - x₁)² + (y₂ - y₁)²).

Using this formula, we can find the base and height of the triangle, and then calculate the area using the formula mentioned earlier. After performing the necessary calculations, we find that the area of the triangle is 3 square units. Therefore, the correct answer is option a) 3 square units.