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
The area is multiplied by 4, not doubled.
The area of the triangle would double
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 volume will be doubled.
just did this on castle learning the answer is six times
The area gets doubled.
In the first case, the area will remain the same. In the second case, the area will doubled.
The area is multiplied by 4, not doubled.
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If the base stays the same, the area is also doubled.
The area of the triangle would double
The exact same as the original triangle.
you can cut a triangle directly
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.
you can easely calculate it: the original measurements: 6(bottom)*6(height)*½=18 double the base half the height: 12*3*½=18 so it remains the same
nothing
If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .