https://file.aiquickdraw.com/mathbot/file/17291655497487u8tn24u.jpg

To calculate the area of the triangle based on the provided formula:

\[
\text{Area of a triangle} = \frac{1}{2} \times \text{base} \times \text{perpendicular height}
\]

From the image:
- Base \( = 6 \)
- Height \( = 4.2 \)

Now, applying these values into the formula:

\[
\text{Area} = \frac{1}{2} \times 6 \times 4.2
\]

\[
\text{Area} = 3 \times 4.2 = 12.6
\]

Thus, the area of the triangle is **12.6 square units**.

Would you like more details or have any questions?

Here are some related questions to expand your understanding:
1. What would the area be if the base were doubled?
2. How does the area change if the height is halved but the base stays the same?
3. Can you calculate the perimeter of the triangle given the base and height?
4. What happens to the area if both the base and height are multiplied by 3?
5. How would you calculate the area of a triangle if given the lengths of all three sides (Heron's formula)?

**Tip:** When working with triangles, always ensure that the height used in the area formula is perpendicular to the base.

Use the formula for the area of a triangle (1/2 * base * height) to calculate the area of a triangle with a base of 6 units and a height of 4.2 units.

Learn how to calculate the area of a triangle using the formula: 1/2 * base * height. This example uses a triangle with a base of 6 units and a height of 4.2 units, leading to an area of 12.6 square units. Suitable for students in Grades 6-8.

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