To calculate the area of the triangle, we can use the formula for the area of a triangle with a given base and height:

$\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}$

From the image, we see that the base of the triangle is 4 cm, and the height is 13 cm (the vertical distance from the base to the top vertex).

Now, substituting these values into the formula:

$\text{Area} = \frac{1}{2} \times 4 \times 13 = 2 \times 13 = 26 \, \text{cm}^2$

So, the area of the triangle is 26 cm².

Would you like more details or have any questions on this? Here are a few related questions:

1. How do you calculate the area of a triangle if you know the lengths of all three sides?
2. What are the different methods to find the area of a triangle?
3. What is the difference between the height and the base of a triangle?
4. How can the Pythagorean theorem help in finding the area of a right triangle?
5. Can you calculate the area of a triangle when the angles are given instead of the height?

Tip: Always ensure that you know which side represents the base and which represents the height when using the area formula.