Prove by algebra:
The perpendicular bisectors of the three sides of a triangle are concurrent.
If you can find an online solution, it would be helpful

Question

Prove by algebra:
The perpendicular bisectors of the three sides of a triangle are concurrent.
If you can find an online solution, it would be helpful

crashonce · Answer

@perl any ideas

perl · Answer

I think you can do an analytic geometry proof

crashonce · Answer

im in year 9 so I don't know what that is lol

perl · Answer

the question is a bit vague, what do they mean 'by algebra'. is there an example similar to this

crashonce · Answer

no it just says assessment: geometry proofs by algebra

crashonce · Answer

@iambatman

mathmate · Answer

Hint: 
You can show that all the perpendicular bisectors pass through the circumcentre.
The circumcentre is the centre of a circle that passes through all three vertices of the triangle.

crashonce · Answer

@mathmate how would I do that through algebra

crashonce · Answer

@jim_thompson5910

crashonce · Answer

@kropot72

crashonce · Answer

@Compassionate

crashonce · Answer

@ganeshie8 @mathmath333

ganeshie8 · Answer

|dw:1420004621106:dw|

ganeshie8 · Answer

fix one side of the triangle on x axis with one end at origin

suppose
A = (0, 0)
B = (2a, 0)
C = (2b, 2c)

can you find the midpoints of sides ?

ganeshie8 · Answer

use midpoint formula and see if you can find the midpoints of sides
|dw:1420004811663:dw|