If every side of a triangle is tripled then increase in area of triangle is:200%300%400%800%
Question
If every side of a triangle is tripled then increase in area of triangle is:
- 200%
- 300%
- 400%
- 800%
Solution
The area of a triangle is given by the formula 1/2 * base * height. If every side of the triangle is tripled, then both the base and the height of the triangle are tripled.
So, the new area of the triangle is 1/2 * (3base) * (3height) = 9/2 * base * height.
This is 9 times the original area of the triangle.
Therefore, the increase in the area of the triangle is 9-1 = 8 times the original area, or an increase of 800%.
So, the correct answer is 800%.
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