The area $A$ of a triangle is calculated using the formula:

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

Substituting the given values (base = 10 cm, height = 6 cm):

$A = \frac{1}{2} \times 10 \times 6 = 30 \, \text{cm}^2$

So, the area of the triangle is 30 cm².

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the area of a triangle with a base of 8 cm and a height of 5 cm?
2. How does changing the height of a triangle affect its area, keeping the base constant?
3. If the area of a triangle is 45 cm² and the base is 9 cm, what is the height?
4. What is the formula for the area of an equilateral triangle?
5. How would the area of a triangle change if both the base and height are doubled?

Tip: Always ensure both the base and height are perpendicular when using the area formula for a triangle.