The image contains a practice exercise about finding the area of a triangle. Here's a summary of the important information:

• Example Problem: A triangle has a base of 8 ft and a height of 3 ft.
  • Formula for the area of a triangle: $A = \frac{1}{2} \times \text{base} \times \text{height}$.
  • Plugging in the values: $A = \frac{1}{2} \times 8 \times 3 = 12 \text{ ft}^2$.
  • The area of the triangle is 12 square feet.

Follow-Up Questions:

1. First Question: What happens to the area if the height is doubled? (It asks whether doubling the height will also double the area, and you need to explain why.)

2. Second Question: In the lower part of the image, there is a sail shaped like a triangle with dimensions provided (height 8.4 ft and base 6.5 ft). You are asked to find the area of this triangle using the same formula.

Would you like a more detailed solution for any of these questions or further clarification on the concepts?

5 Related Questions:

1. How do you derive the area formula for a triangle?
2. What happens to the area of a triangle if only the base is doubled, but the height remains the same?
3. Can the area formula be used for any triangle, or are there conditions where a different approach is needed?
4. What is the effect on the area if both the base and height of a triangle are doubled?
5. How does the Pythagorean theorem relate to triangles, especially when finding areas?

Tip:

Always ensure that the base and height are perpendicular to each other when using the area formula for triangles.