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%

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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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If every side of a triangle is tripled then increase in area of triangle is:200%300%400%800%

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