https://file.aiquickdraw.com/mathbot/file/17278711741360xobc8km.jpg

The triangle shown in the image is an equilateral triangle because all angles are given as 60°, and one side is labeled as 9 feet.

Let's go step by step to answer the questions:

1. **\( \text{m} \angle C \):**
   Since this is an equilateral triangle, all three angles are equal to 60°.

   \[
   \boxed{60^\circ}
   \]

2. **\( BC \):**
   In an equilateral triangle, all sides are equal. Given that side \( AB \) is 9 ft, the side \( BC \) will also be 9 ft.

   \[
   \boxed{9 \text{ ft}}
   \]

3. **\( AC \):**
   Similarly, side \( AC \) will be equal to the other two sides, which is 9 ft.

   \[
   \boxed{9 \text{ ft}}
   \]

To summarize:
- \( \text{m} \angle C = 60^\circ \)
- \( BC = 9 \text{ ft} \)
- \( AC = 9 \text{ ft} \)

Would you like a more detailed explanation of any of these steps or have any further questions?

Here are some related questions to think about:
1. What is the perimeter of the triangle?
2. What is the area of this equilateral triangle?
3. How can you calculate the height of an equilateral triangle given the side length?
4. What would be the measure of the angles if the triangle was isosceles but not equilateral?
5. How do you classify triangles based on side lengths and angle measures?

**Tip:** In any equilateral triangle, knowing just one side is enough to calculate everything about the triangle, including angles, height, area, and perimeter!

The triangle shown in the image is an equilateral triangle with angles of 60° and one side of 9 feet. Find the measure of angle C, the length of side BC, and the length of side AC.

Learn how to solve for the angles and sides of an equilateral triangle where one side is given as 9 feet. This geometry problem covers key concepts related to equilateral triangles, including angle measures and side lengths. Suitable for students in Grades 6-8.

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