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.