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Geometry : How many distinct points does the 9-point circle have when the triangle is isosceles, equilateral, right-angle isosceles

How many distinct points does the 9-point circle have when the triangle is
- isosceles
- equlateral
- right-angled isosceles.

Solution Preview

?In an isosceles triangle the midpoint and the foot of the altitude coincide on the base, leaving eight distinct points.

? In an equilateral triangle there are six because the midpoints all coincide with a foot of an ...

Solution Summary

The number of distinct points in a 9-point circle are examined for different triangles.

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