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Based on the calculations, the area of this triangle is equal to: A. Area = 1/2 × [√(x₂² + y₂²) × √(x₁² + x₁²)].
<h3>How to calculate the area of a triangle?</h3>Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
<u>Where:</u>
- b is the base area.
- h is the height.
Next, we would find the distance between points A and B:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
AB = √[(x₂ - 0)² + (y₂ - 0)²]
AB = √(x₂² + y₂²)
Also, we would find the distance between points A and C:
Distance = √[(x₁ - x₂)² + (y₁ - y₂)²]
AC = √[(x₁ - 0)² + (y₁ - y0)²]
AC = √(x₁² + x₁²).
Now, we can find the area of this triangle:
Area = 1/2 × b × h
Area = 1/2 × AB × AC
Area = 1/2 × [√(x₂² + y₂²) × √(x₁² + x₁²)]
Read more on area of triangle here: brainly.com/question/2391510
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