To find the area of a triangle, you can use the formula:

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

Substituting the given values (base = 10 units and height = 5 units):

$\text{Area} = \frac{1}{2} \times 10 \times 5 = 25 \, \text{square units}$

So, the area of the triangle is 25 square units.

Do you need further details or have any questions?

Here are 5 related questions to deepen understanding:

1. What is the formula for the area of a triangle if only the side lengths are known?
2. How would the area change if the base were doubled?
3. Can you find the area of a triangle with an unequal base and height?
4. How does the area formula apply to right-angled triangles?
5. How would you calculate the area of a triangle on a coordinate plane?

Tip: Always double-check the units when solving area problems to ensure they are consistent.