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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

You don't have enough information. But if you have the base and the area, you can solve the equation for the area of the triangle for the height.

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

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The area of the triangle would double

The area is multiplied by 4, not doubled.

The area gets doubled.

The exact same as the original triangle.

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.

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

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

The area doubles if the base stays the same.

you can cut a triangle directly

nothing

The area should increase.

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

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