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If the base stays the same, the area is also doubled.

Q: How does the area of a triangle change when the height is doubled?

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The exact same as the original triangle.

If the sides of a triangle are doubled then the area becomes quadrupled (four times as large).

the area of a triangle is half of the base times the height the area of a triangle is half of the base times the height

When you change the linear size it changes the areas by the square and the volume of the cube.

As area_of_parallelogram = base x height if they are both doubled then: new_area = (2 x base) x (2 x height) = 4 x (base x height) = 4 x area_of_parallelogram Thus, if the base and height of a parallelogram are [both] doubled, the area is quadrupled.

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The area of the triangle would double

The area is multiplied by 4, not doubled.

The area gets doubled.

Area = 1/2 x base x height The area of a triangle is directly proportional to its base (and also, actually, to it's height). Therefore, any change to the base (or it's height) is directly conferred onto that triangle's area. BY DOUBLING THE BASE OF A TRIANGLE, IT'S AREA TOO WILL DOUBLE.

The exact same as the original triangle.

In the first case, the area will remain the same. In the second case, the area will doubled.

If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .

The area doubles if the base stays the same.

you can cut a triangle directly

nothing

The area should increase.

There is no change in the area. Doubling the base and halving the height gives the same area. The formula for area of a triangle is A = bh/2 1/2 (base x height) Example: base 5, height 8 A = (5 * 8)/ 2 = 20 base 10, height 4 A = (10 * 4)/2 = 20