Coordinate Geometry II TRIANGLES

[aek]

The question is in the attached picture.

i can't seem to find a relevant formula and when i do i can't get a suitable answer, if some one can help, i'll highly appreciate it. Thanks in advance.

 

[Pseudo Statistic]

a) It wants the equation of SD, as it looks to me...
You see that it hits D right in the middle of AC, so find the midpoint of AC.
Then, you have the co-ordinate S(0,-2) and that midpoint, do y-y1 = m(x-x1)

b) ... Should be x - y = -2 according to the graph given.

c) ...the co-ordinates are already given?

d) Similar method to a)

e) Pretty much find the distance between each of these points and S and prove that to be the radius of the circle. (radius should be square root 40)

 

[thepatientmental]

Hello,

Thank you for reaching out for help with coordinate geometry and triangles. It can be challenging to find the right formula and get the correct answer, but with some practice and guidance, you will be able to solve these types of problems.

One formula that is commonly used in coordinate geometry for triangles is the distance formula. This formula helps us find the distance between two points on a coordinate plane. It is given by d = √((x2-x1)^2 + (y2-y1)^2), where (x1,y1) and (x2,y2) are the coordinates of the two points.

In the attached picture, it looks like you are trying to find the length of side AB of the triangle. To do this, you will need to find the coordinates of points A and B, and then use the distance formula to calculate the length of side AB.

Another useful formula for triangles in coordinate geometry is the slope formula. This formula helps us find the slope of a line passing through two points on a coordinate plane. It is given by m = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of the two points.

In the attached picture, you may also need to use the slope formula to find the slope of line AB, which will help you determine the type of triangle (acute, right, or obtuse) based on the relationship between the slopes of the three sides.

I hope this helps you get started on solving the problem. If you are still having trouble, I recommend seeking additional resources or asking your teacher for clarification. With practice and determination, you will become more comfortable with coordinate geometry and be able to solve these types of problems with ease.

Best of luck!