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The problem states that a triangle is enlarged such that each side becomes three times its original length. We need to determine how many times the area of the triangle increases as a result.

**Solution:**

When all sides of a triangle are scaled by a factor of \( k \), the area of the triangle scales by a factor of \( k^2 \). In this case, \( k = 3 \).

Therefore, the enlargement factor for the area is:
\[
k^2 = 3^2 = 9
\]

So, the area of the triangle becomes 9 times larger.

The correct answer is:
**D. 9 kali**

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### Related Questions:
1. What happens to the perimeter of the triangle when each side is tripled?
2. How would the area change if the sides were scaled by a factor of 4 instead?
3. How does scaling the sides affect the angles of a triangle?
4. What is the formula for finding the area of a triangle given its sides?
5. Can this scaling principle be applied to other shapes like squares or circles?

### Tip:
Remember, when scaling shapes, areas are affected by the square of the scaling factor, while perimeters are directly proportional to the scaling factor.

Sebuah segitiga diperbesar sehingga setiap sisi-sisinya menjadi 3 kali ukuran sisi sisinya semula. Berapa kalikah perbesaran luas segitiga tersebut?

Explore how to determine the area enlargement of a triangle when each side length is scaled by a factor of 3. This problem involves understanding geometry concepts, specifically scaling and area enlargement, and is suitable for students in Grades 8-10.

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