SOLUTION: How you draw the circumcircle of an isosceles right triangle having 6 cm as the length of the equal sides?

Question 1124089: How you draw the circumcircle of an isosceles right triangle having 6 cm as the length of the equal sides?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i believe you need to find the circumcenter of the right triangle.

here's a definition from the web.

One of several centers the triangle can have, the circumcenter is the point where the perpendicular bisectors of a triangle intersect. The circumcenter is also the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices.

if your triangle has two sides that are 6 cm, then the circumcenter will be the point that is the intersection of the perpendicular bisector of all 3 sides.

i graphed a right triangle with a vertex at (0,0), (0,6), and (6,0).

the perpendicular bisector of the line segment from (0,0) to (6,0) is the line x = 3

the perpendicular bisector of the line segment from (0,0) to (0,6) is the line y = 3.

the perpendicular bisector of the line segment from (0,6) to (6,0) is the line y = x.

the circumcenter is at the point (3,3).

here's the graph.

$$$

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