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Q: If the height of a triangle is doubled how does the area change?

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The area is multiplied by 4, not 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 area is doubled. a,b - cathetus; c - hypotenuse; h - height; S - area. S = (a*b)/2 = (c*h)/2 obviously if k is the doubled height. and A is the new area. A = (c*k)/2 = (c*2h)/2 = c*h and A = S*2

Area of a triangle = base * height / 2 Therefore the base = Area * 2 / height

That the area of a triangle = 0.5*base*height

Related questions

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

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.

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

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