To calculate the area of the given right-angled triangle, you use the formula for the area of a triangle:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

Here:

• The base is $14 \, \text{m}$,
• The height is $3 \, \text{m}$.

Substitute the values into the formula:

$\text{Area} = \frac{1}{2} \times 14 \times 3 = 21 \, \text{m}^2$

The area of the triangle is 21.0 m² (to 1 decimal place).

Would you like further details or have additional questions?

Here are 5 related questions to consider:

1. How does the formula for the area of a triangle work with different orientations?
2. What is the significance of rounding answers to a specific decimal place?
3. How would the area change if the base or height was doubled?
4. Can the hypotenuse of this triangle be calculated? If so, how?
5. How can this concept be applied to irregular shapes?

Tip: Always verify that the base and height are perpendicular when calculating the area of a triangle.