The image shows a right triangle with the following dimensions:

• Height: 8 cm
• Base: 3 cm
• Hypotenuse: 12 cm (though this is not needed to calculate the area)

To find the area of a triangle, the formula is:

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

Substituting the values:

$\text{Area} = \frac{1}{2} \times 3 \, \text{cm} \times 8 \, \text{cm} = \frac{1}{2} \times 24 = 12 \, \text{cm}^2$

So, the area of the triangle is 12 cm².

Would you like more details or have any questions?

Here are 5 related questions to further explore the topic:

1. How would you find the perimeter of the triangle?
2. What other types of triangles exist besides right triangles?
3. Can you use the Pythagorean theorem to verify the hypotenuse of this triangle?
4. How would the area change if the height were doubled but the base remained the same?
5. How do you calculate the area of non-right triangles?

Tip: Always make sure you have the correct measurements for the base and height, as they must be perpendicular to each other when using the area formula for triangles.