If every side of a triangle is doubled, then increase in the area of the triangle isSelect an answerAB200%C300%D400%

To solve this problem, we need to understand the relationship between the sides of a triangle and its area.

The area of a triangle is given by the formula A = (1/2) * base * height.

If every side of a triangle is doubled, it means that the new sides are twice as long as the original sides. Let's call the original sides a, b, and c, and the new sides 2a, 2b, and 2c.

To find the new area of the triangle, we need to find the new base and height.

The base of the original triangle is one of the sides, let's say side a. The base of the new triangle is 2a.

The height of the original triangle can be found using the Pythagorean theorem or other methods. Let's assume we have already found the height and it remains the same when the sides are doubled.

Now we can calculate the new area of the triangle using the formula A = (1/2) * base * height.

The original area of the triangle is A = (1/2) * a * h.

The new area of the triangle is A' = (1/2) * (2a) * h.

Simplifying, we get A' = 2 * (1/2) * a * h.

This means that the new area of the triangle is twice the original area.

Therefore, the increase in the area of the triangle is 200%.

So, the correct answer is A) 200%.