Question: Triangle: The roof truss has the following dimension $2000\text{mm} \times 1000\text{mm}$
$1000\text{mm}$
$2000\text{mm}$
8. You have been asked to work out the area of the roof truss.
Provide your answer in $m^2$ and write down your formula you
used. *
1. **State the problem:** We need to find the area of a triangular roof truss with base $2000\text{mm}$ and height $1000\text{mm}$.
2. **Formula for the area of a triangle:**
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
3. **Convert dimensions to meters:**
Since $1000\text{mm} = 1\text{m}$ and $2000\text{mm} = 2\text{m}$, we have:
$$\text{base} = 2\text{m}, \quad \text{height} = 1\text{m}$$
4. **Calculate the area:**
$$\text{Area} = \frac{1}{2} \times 2 \times 1$$
5. **Simplify the expression:**
$$\text{Area} = \frac{\cancel{1}}{\cancel{2}} \times \cancel{2} \times 1 = 1\text{m}^2$$
6. **Final answer:** The area of the roof truss is $1\text{m}^2$.