The triangle shown is a right-angled triangle, with the base $b = 5 \, \text{cm}$ and the height $h = 4 \, \text{cm}$.

The formula for the area $A$ of a triangle is:

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

Substituting the given values:

$A = \frac{1}{2} \times 5 \, \text{cm} \times 4 \, \text{cm} = \frac{1}{2} \times 20 \, \text{cm}^2 = 10 \, \text{cm}^2$

So, the area of the triangle is:

$\boxed{10 \, \text{cm}^2}$

Would you like a detailed explanation or have any questions?

Here are 5 related questions you might be interested in:

1. How does the formula for the area of a triangle work in non-right triangles?
2. What is the area of a triangle with base 7 cm and height 6 cm?
3. Can you calculate the area of a triangle using trigonometry?
4. How would you calculate the area of a triangle if only the sides are given?
5. What is the relationship between the perimeter and area of a triangle?

Tip: Always remember to check if a triangle is a right triangle as it simplifies area calculations!