Trisection = divide into 3. So the answer is in the question.
The area doubles if the base stays the same.
Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.
The area gets doubled.
If the altitude is not changed, the area would be doubled.
If the base of a triangle is halved while keeping the height constant, the area of the triangle will also be halved. The area of a triangle is calculated using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). Therefore, reducing the base to half directly reduces the area proportionally.
The area doubles if the base stays the same.
Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.
The area gets doubled.
If the altitude is not changed, the area would be doubled.
If the base of a triangle is halved while keeping the height constant, the area of the triangle will also be halved. The area of a triangle is calculated using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). Therefore, reducing the base to half directly reduces the area proportionally.
An angle of 65° can not be trisected using a compass and straight edge.
If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .
Only certain angles can be trisected using a compass and straightedge, specifically those that are multiples of 3 degrees. More generally, any angle that can be constructed from rational numbers using a compass and straightedge can also be trisected. However, due to the limitations of these tools, most angles cannot be trisected; notable exceptions include angles that can be expressed in the form of 3n degrees where n is an integer. The classic example of an angle that cannot be trisected is a 60-degree angle, which cannot be trisected into three 20-degree angles using only these methods.
You can approximate the surface area by lots of triangles (base of the triangle on the base of the cone, and tip of the triangle at the tip of the cone), and analyze what happens when the triangles get narrower and narrower.
The two angle measures that can be trisected using a straightedge and compass are 0 degrees and 180 degrees. Any angle that is a multiple of these measures can also be trisected. However, it is important to note that most arbitrary angles cannot be trisected using just these tools due to the limitations established by the impossibility of certain constructions in classical geometry.
it would quadruple (become 4 times as big)
When you dilate a triangle with a scale factor of 2, each vertex of the triangle moves away from the center of dilation, doubling the distance from that point. As a result, the new triangle retains the same shape and angles as the original triangle but has sides that are twice as long. This means the area of the dilated triangle becomes four times larger than the original triangle's area.