Sure, let's go through this step-by-step.
When each side of the original triangle is doubled in length, the new triangle maintains the same shape but with sides twice as long.
1. The area of a triangle is proportional to the square of its side length.
2. If each side is increased by a factor of 2, the new side length is [tex]\(2\)[/tex] times the original side length.
3. Therefore, the area will increase by [tex]\(2^2\)[/tex].
This means the area of the enlarged triangle will be [tex]\(4\)[/tex] times the original area.
So, the final answer is:
The area of the triangle increases to 4 times the original area.
