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To find the area of the triangle, we first need to determine the coordinates of the triangle's vertices from the graph.

The triangle appears to have the following vertices:
- \( G(4, 4) \)
- \( H(0, 8) \)
- \( F(-6, 6) \)

The area \( A \) of a triangle with vertices \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) is given by the formula:

\[
A = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|
\]

Let me calculate the area for this triangle.The area of the triangle is \( 16 \, \text{square units} \).

Would you like any further details or explanations on this? Here are 5 related questions you might find interesting:

1. How would you calculate the perimeter of this triangle?
2. Can you explain why the formula for the area of a triangle works?
3. What would happen to the area if one of the vertices was moved to a new location?
4. How can you check if the given points are collinear?
5. How do you determine if a triangle is a right triangle using its vertices?

**Tip:** When working with triangles on a coordinate plane, always label the vertices clearly and use the formula carefully to avoid mistakes.

Learn how to calculate the area of a triangle with vertices at G(4, 4), H(0, 8), and F(-6, 6) using the triangle area formula in coordinate geometry. This step-by-step solution is ideal for students in Grades 8-10.

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