Question 1179512: A circle has a centre of (0,0) and a radius of 13.
Draw a circle with a centre of (0,0) and a radius of 13. You may use Geogebra for this assignment, or some other graphing software, or you may draw the graph by hand on graph paper.
The points A(0, _ ) , B( _ ,0) and C( _, _ ) are points on the circle. From your graph, determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates.
Construct the chords AB and AC.
Construct the perpendicular bisectors of the chords.
Construct the intersection of the perpendicular bisectors of the chords. Where do the bisectors intersect?
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! A circle has a centre of ( ,) and a radius of  .
Draw a circle with a centre of (,) and a radius of .
You may use Geogebra for this assignment, or some other graphing software, or you may draw the graph by hand on graph paper.
using formula
The points A(0, _ ) , B( _ ,0) and C( _, _ ) are points on the circle.
From your graph, determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates.
Construct the chords AB and AC.
A(0, 13 ) , B( 13 ,0) and C( 0, 0 )
Construct the perpendicular bisectors of the chords.
the perpendicular bisector of  is a line  and the perpendicular bisector of  is a line 
Construct the intersection of the perpendicular bisectors of the chords. Where do the bisectors intersect?
the bisectors are and
if
=>
the bisectors intersect at ( ,)
Answer by greenestamps(13203)  (Show Source):
You can put this solution on YOUR website!
The solution from @MathLover1 is not correct: C(0,0) is NOT a point on the circle.
Otherwise the ideas of her solution are sound.
Since (5,12,13) is a Pythagorean Triple, use C(5,12) or C(12,5) as the third point on the circle, and follow her example using that.
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