To find the area of a triangle, we use the formula:

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

From the diagram:

• The base of the triangle is $5 \, \text{cm}$.
• The height (or perpendicular side) corresponding to this base is $12 \, \text{cm}$.

Now, substitute these values into the formula:

$\text{Area} = \frac{1}{2} \times 5 \, \text{cm} \times 12 \, \text{cm} = \frac{1}{2} \times 60 \, \text{cm}^2 = 30 \, \text{cm}^2$

Final Answer:

The area of the triangle is $30 \, \text{cm}^2$.

Would you like more details or have any questions?

Here are some related questions to expand on this:

1. What is the area formula for different types of triangles?
2. How would the area change if the base or height were doubled?
3. How can we find the area if we know all three sides but not the height?
4. What are some real-life applications of calculating the area of a triangle?
5. How does the concept of area apply in three-dimensional shapes?

Tip: Always ensure the height used in area calculations is perpendicular to the chosen base.