Question

the orthocenter of a right angle triangle coincides with its centroid.True or False

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Answer 1

Step-by-step explanation:

In a triangles,

Centroid (G) is always located in the interior of a triangle. Where as, in obtuse triangles only, circumcenter (C) and orthocentre (H) lie outside the triangle. In right triangles, it lies at the midpoint of hypotenuse.

The centroid (G), the orthocenter (H) and the (C) are collinear.

The line that connects the G, H and C is called the Euler Line.

HG = 2GC.