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

Would you like further details or have any questions?

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.