To solve the problem of finding the area of the triangle shown in the image, we use the formula for the area of a triangle:

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

Step 1: Identify the Base and Height

• From the diagram:
  • The base of the triangle is $16 \, \text{cm}$.
  • The height of the triangle is the perpendicular distance from the top of the triangle to the base, which is $6 \, \text{cm}$.

Step 2: Apply the Formula

Substitute the given values into the formula:

$\text{Area} = \frac{1}{2} \times 16 \times 6$

$\text{Area} = \frac{1}{2} \times 96 = 48 \, \text{cm}^2$

Final Answer:

The area of the triangle is:

$\boxed{48 \, \text{cm}^2}$

Would you like additional explanations or have further questions?

Here are 5 related questions to deepen your understanding:

1. What happens to the area if the height of the triangle is doubled?
2. How do you find the base of a triangle if the area and height are given?
3. What is the area of a triangle with a base of $10 \, \text{cm}$ and height $8 \, \text{cm}$?
4. How do you determine the height of a triangle when only its slant height and area are known?
5. What is the difference between the height and the slant height in triangles?

Tip:

Always ensure the height is perpendicular to the base when calculating the area of a triangle.