Where does the orthocentre of a right-angled triangle lie?

Competition practiceGeometry

AAt the right-angled vertex
BAt the midpoint of the hypotenuse
COutside the triangle
DAt the centroid

Step-by-Step Solution

The two legs are themselves altitudes, and they meet at the right-angled vertex, so the orthocentre is that vertex. (The midpoint of the hypotenuse is the circumcentre.)

Answer: A) At the right-angled vertex

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