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Question

Two altitudes of a triangle meet at a point O. Without any other information, can the point of intersection of the third altitude with the other altitudes be determined? Answer in Yes/No.


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Solution

Orthocentre is the point where all the altitudes of a triangle meet.

All the altitudes will meet at a single point.
If any of the two altitude meet at a point O, then the third altitude must meet at the same point.

Hence, the required point is O.

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