Final answer:
If each side of a scalene triangle is doubled, the area will be increased four times. This happens because both the base and the height of the triangle are doubled, leading to a quadrupling of the original area.
Step-by-step explanation:
If each side of a scalene triangle is doubled, then the area would be increased by what? The answer is four times.
Here's why: The area of a triangle is calculated by the formula: Area = 1/2 * base * height. If each side of the triangle is doubled, then the base and the height are both doubled. Therefore, the new area is 1/2 * (2*base) * (2*height) = 4 * (1/2 * base * height), which is four times the original area.
So if you double the sides of any triangle, not just a scalene triangle but also right, isosceles, equilateral, etc., you will end up quadrupling the area, not doubling it. The increase is by a factor of 4, or 400%, not 200%, because you're doubling each of two dimensions.
Learn more about Triangle Area