Computer Graphics Assigment Help

[kekido]

Homework Statement

Homework Equations

The Attempt at a Solution

I know how to solve B. Since the point C is on AB. $$Z_C=tZ_A+(1-t)Z_B$$, then since t is a function of $$Z_A$$, $$Z_B$$ and s, we can write Z_C as a function of those.

However, I don't have a clue for part A. Triangle OAB and Oab are not similar.

Please help. Thanks.

 

[KataKoniK]

Hello there,

For part A, you can use the fact that OAB and Oab are both right triangles. This means that the angles O and Oa are both 90 degrees. You can also use the Pythagorean theorem to relate the sides of the triangles. Let's call the length of OA and Oa x, and the length of OB and Ob y. Then you can set up the following equations:

x^2 + y^2 = (x + y)^2
x^2 + z^2 = (x + z)^2

Solving these equations will give you the relationship between z and y, and therefore you can find the coordinates of point C using the equation you mentioned in your solution attempt.

I hope this helps! Let me know if you have any other questions.

 

[piercas]

I can provide some guidance for this assignment on computer graphics. First, it is important to understand the concept of similarity in geometry. Two figures are considered similar if they have the same shape, but not necessarily the same size. In this case, triangles OAB and Oab may not be similar because they have different angles and side lengths.

For part A of the assignment, you can start by analyzing the given information and identifying any relationships or patterns. For example, you can look at the coordinates of points A, B, and O and see if there are any ratios or proportions that can be derived. Additionally, you can use the distance formula to calculate the lengths of the sides and compare them.

Another approach could be to use the concept of transformations, such as translations, rotations, and reflections, to see if any transformations can make the two triangles appear similar. This can also help you visualize the problem and potentially come up with a solution.

Overall, for this assignment, it is important to think critically, use mathematical concepts and formulas, and be creative in finding a solution. Don't be afraid to try different approaches and ask for help if needed. Good luck!