To calculate the area of the right-angled triangle in the image:

Formula:

The area of a triangle is calculated as: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

Given:

• Base = $12 \, \text{m}$
• Height = $7 \, \text{m}$

Substitution:

$\text{Area} = \frac{1}{2} \times 12 \times 7$

$\text{Area} = \frac{1}{2} \times 84 = 42 \, \text{m}^2$

Final Answer:

The area of the triangle is 42.0 m² (to 1 decimal place).

Would you like a detailed explanation of the steps or further assistance? 😊

Here are 5 related questions to deepen your understanding:

1. How would you calculate the perimeter of this triangle?
2. What is the hypotenuse length of this triangle using the Pythagorean theorem?
3. How does the area formula for a triangle relate to that of a rectangle?
4. Can you determine the triangle's area if only the hypotenuse and one side are given?
5. How can you find the height if the base and area are known?

Tip: Always double-check your units when solving geometry problems to ensure accuracy!