Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.

To find the area of a triangle, the formula used is:

[

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

]

In this case, the base of the triangle is given as 10 cm, and the height is given as 5 cm. Plugging these values into the formula:

[

\text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 5 , \text{cm}

]

Calculating the multiplication first:

[

10 \times 5 = 50 , \text{cm}^2

]

Now, apply the one-half factor:

[

\text{Area} = \frac{1}{2} \times 50 , \text{cm}^2 = 25 , \text{cm}^2

]

Thus, the area of the triangle is 25 cm², making it the correct answer. Understanding this formula is essential for calculating the areas of triangles in various contexts, as it directly relates the dimensions of the shape to its size in a straightforward manner.