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Vertices

The points (-3,19) (-15,1) (9,1) are vertices of a triangle.

Show that a circle centre (-3,6) can be drawn through the vertices of the triangle.

How do i approach it.

Reply 1

aznkid66

The three points lie on the circumference of the circle.

http://www.thestudentroom.co.uk/showthread.php?t=2155046

Reply 2

Tynos

oh right it was jsut the it said show that i got confused.

Reply 3

McLH

Original post by Tynos

The points (-3,19) (-15,1) (9,1) are vertices of a triangle.

Show that a circle centre (-3,6) can be drawn through the vertices of the triangle.

How do i approach it.

Work out the length between the centre and each point, you should get the same for each pair.

Reply 4

aznkid66

Original post by Tynos

oh right it was jsut the it said show that i got confused.

I think that if you prove that the three points lie on the circumference of some circle (all triangles are cyclical, all sets of 3 points do this, etc.) and prove that (-3,6) is the center of that circle, then you're good to go.

Not sure though, might want to check with someone else.