Area of a Triangle from Coordinates
Easyarea by coordinates
A triangular parcel has corners at (0, 0), (40, 0) and (10, 30), in metres. Its area is:
- A600 m²
- B400 m²
- C750 m²
- D1200 m²
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Answer: A. 600 m²
Equation: coordinate (shoelace) method, A = ½|Σ xi(yi+1 − yi−1)|. Values: A (0, 0), B (40, 0), C (10, 30). Step 1: 0(0 − 30) + 40(30 − 0) + 10(0 − 0) = 1,200. Step 2: A = ½ × 1,200 = 600 m². Check: base AB = 40, height of C = 30, ½ × 40 × 30 = 600. 1,200 forgets the ½.
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