Question 1124089
i believe you need to find the circumcenter of the right triangle.


here's a definition from the web.


<i>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.</i>


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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