straight lines

Question

The area of triangle with vertices (0,0), (3,0), and (0,4) is

RankGuru · Accepted Answer

1. **Visual Analysis**: The triangle has vertices at origin $(0, 0)$, on the x-axis $(3, 0)$, and on the y-axis $(0, 4)$. It is a **right-angled triangle**.
2. **Identify Base and Height**: Base $b = 3$ (along x) and Height $h = 4$ (along y).
3. **Calculation**:
   - $	ext{Area} = \frac{1}{2} 	imes 	ext{Base} 	imes 	ext{Height}$
   - $	ext{Area} = \frac{1}{2} 	imes 3 	imes 4 = 6$.
4. **Result**: 6 square units.

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