Q. 93.6( 10 Votes )

The orthocentre o

Answer :


Since , H is the orthocenter of the ΔABC


So, ADBC , BEAC and CFAB


X, Y and Z are the midpoints of AH, BH and CH respectively


XYZ is a triangle.



Hence, XZ||AC


So, HOX=HEA=90°


Similarly, XY||AB


And HPX=HFA=90°


And YZ||BC


So, HQZ=HDC=90°


Hence, HO, HP and HQ are the altitudes of ∆XYZ


So, H is the orthocenter of ∆XYZ


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