Area = |(0×0 + 8×6 + 3×0) - (0×8 + 0×3 + 6×0)| / 2 = |(0 + 48 + 0) - (0 + 0 + 0)| / 2 = 48/2 = <<48/2=24>>24

Sun, 19 Apr 2026 01:53:23 +0000

Understanding the Geometry of Area: A Step-by-Step Calculation Using Coordinates Calculating the area of a triangle using coordinates is a fundamental concept in geometry, combining algebra and spatial reasoning. This example demonstrates a clear method using the determinant-like formula to find area based on given vertex coordinates:
Area = |(x₁×y₂ + x₂×y₃ + x₃×y₁) - (y₁×x₂ + y₂×x₃ + y₃×x₁)| / 2 ### The Formula Explained
The formula used here is derived from the determinant of a matrix involving vertex coordinates. If we’re given points A, B, and C with coordinates:
- A = (x₁, y₁)
- B = (x₂, y₂)
- C = (x₃, y₃) Then the area is:
Area = |(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)| / 2