The final scaled triangle will be the same wether it is embedded in three dimensional space or two dimensional space. I think you mean that your triangle is defined by it's coordinates in a coordinate system, and you want to find out the coordinates of the enlarged triangle's corners.

Mar 6, 2014 · If I have a triangle with sides A B and C, how can I scale the triangle down to one that has sides A + B = 1? E.g, if I have the triangle ABC where length of A = 45, length of B = 55 and length of C = sqrt (45^2 + 55^2), how can I scale that down to a triangle where A + B = 1? Especially if A + B doesnt conveniently add up to 100.

Dec 7, 2015 · Given the cartesian (x, y) (x, y) coordinates of three points a, b a, b and c c that form an equilateral triangle ABC A B C, how do I scale them using its center point so that its position on the cartesian plane is maintained? Multiplying each point's X X and Y Y coordinate changes the triangle's relative position to the origin.

Jun 11, 2024 · Given ABC, and a scale factor r <1, I want to find the necessary rotation (center and angle) such that the rotated/scaled version of the triangle has its vertices lying on the sides of ABC. To clarify what I want. Suppose the vertices A, B, C are in counter-clockwise order. I want to scale these points (homothety) about a certain point …

Sep 1, 2024 · In the asymmetric n-bug problem in cyclic pursuit, regarding the case where the triangle always remains similar to its original form, the point of collision is the Brocard Point. A paper by Arthur Bernhart mentions that the trajectory of the particle/bug from the vertex of the triangle to the Brocard point is a logarithmic spiral.

Nov 12, 2012 · The triangle A′B′C′ A ′ B ′ C ′ has the shape that we want, except for being wrong by a scaling factor of p′/p p ′ / p. Scale it up, by multiplying the sides by p/p′ p / p ′.

Jul 20, 2017 · Triangle ABC has point D on BC which creates triangle ABD and ACD. They differ with the scale factor $\\sqrt{3}$. What are the angles? I know ADB and ADC cannot be right, as it shares the side AD and

Sep 29, 2022 · I have an equilateral triangle with know height, length, and 3 coordinate pairs (x, y). Given this information, I want to determine the 3 coordinate pairs for another equilateral triangle of exactl...

Also, if the coordinates of any shape are transformed by a matrix, the area will be changed by a scale factor equal to the determinant. Since the determinant is the scale factor when the unit square is transformed to a parallelogram, it will be the scale factor when any parallelogram with the origin as a vertex is transformed to any other parallelogram because the inverse matrix will …

Mar 23, 2022 · You can divide the polygon into triangles. Each triangle will have sides scaled up by a a. Now use heron's formula to conclude that each triangle's area is scaled up by a2 a 2.