If every side of a triangle is doubled, then increase in the area of the triangle is

To find the increase in the area of a triangle when every side is doubled, we can follow these steps:

1. Start with a triangle with side lengths a, b, and c.
2. Calculate the area of the original triangle using Heron's formula or any other appropriate method.
3. Double each side length to get 2a, 2b, and 2c.
4. Use the doubled side lengths to calculate the area of the new triangle using the same method as in step 2.
5. Find the difference between the area of the new triangle and the area of the original triangle.
6. This difference represents the increase in the area of the triangle when every side is doubled.

By following these steps, you can determine the increase in the area of a triangle when each side is doubled.