Bisectors and Circumference

[monkeee]

I know it says not to post a list but I really, really NEED answers and working.. I've been sick and I need to get this done quickly, one off time seriously!

1)Show that ABC is a right-angled triangle.
2)The line y= 2x -6 is the equation of the perpendicular bisector of AC. Find the equations of the other two perpendicular bisectors of the sides of the triangle.
3)Find the circumcentre of the triangle, the point where the perpendicular bisectors intersect.
4)Write down the equation of the circle which has all three vertices of the triangle on the circumference.
5)Find the shortest distance between the line y=2x-6 and the line y=2x-1.
6)Find the length of the line y=2x-1 inside the circle.

ImageShack® - Online Photo and Video Hosting

Thank you!​

 

[mmm4444bot]

I know it says not to post a list but I really, really NEED answers and working.. I've been sick and I need to get this done quickly, one off time seriously!

1)Show that ABC is a right-angled triangle.
2)The line y= 2x -6 is the equation of the perpendicular bisector of AC. Find the equations of the other two perpendicular bisectors of the sides of the triangle.
3)Find the circumcentre of the triangle, the point where the perpendicular bisectors intersect.
4)Write down the equation of the circle which has all three vertices of the triangle on the circumference.
5)Find the shortest distance between the line y=2x-6 and the line y=2x-1.
6)Find the length of the line y=2x-1 inside the circle.

ImageShack® - Online Photo and Video Hosting

Thank you!​

These are six parts of a single exercise (that is, they all pertain to the given diagram). There is no issue with including all of the parts of a single exercise in a single thread.

The real issue is that you ignored some of our other guidelines.

Where is your work? If you have not done anything, yet, then what have you considered? That is, where are you stuck? Do you have any specific questions of your own?

This exercise covers a lot of material. We do not teach classroom material on the boards because lectures and lessons for all of these topics already exist in hundreds of places elsewhere on the Internet.

There is a theorem in geometry that demonstrates part (1). I do not understand if you are expected to state the theorem or prove it.

Do you understand what they ask for in part (2)? Are you sure that you do not know the equation for the line that bisects AB? You ought to be able to do this part immediately in your head; otherwise, you're not ready for this exercise because you've not learned some elementary prerequisites.

I'm concerned that you have put little effort into this exercise. I'm wondering what kind of help you expect to receive here.

 

[Bob Brown MSEE]

Hi monkeee

As I said on your other post, welcome to Free Math Help!

This is a Forum (like a conversation). You show what you are working on, and where we might help. We get you going again .. its that simple. Then you answer back so that we know that we helped. Often, you will progress and get stuck again. That's ok. Its not uncommon for several passes between us, a conversation.

Don't get us wrong, Posting the ENTIRE problem is a good start. And, the image link is fine. But that is only the beginning of our conversation (in which you do the work)

We can only work on one thing at a time so, what is troubling you with ...

1)Show that ABC is a right-angled triangle.

Is this to be a formal proof? What would you answer and what would get you stuck?

By the way... This process is a lot more tedious for we who are happy to help, than it would be for me to just do your homework. It is worth the extra time for both of us. Remember, you will need to understand this material in detail for your test. Let's get started. Now.