BE is perpendicular to AC .AD is any line A to BC intersecting BE in H.P,Q and R are respectively the midpoints of AH,AB and BC.Prove that angle PQR= 90

Asked by topper1996 | 14th Oct, 2010, 12:00: AM

Expert Answer:

Dear student,
 
In triangle ABC, Q and R are the mid-points of AB and BC respectively.
So, QR is parallel  to AC.
Now, BE is perpendicular to AC, so BE is perpendicular to QR.
 
Now, BE is parallel to QP.
Thus, QR is perpendicular to QP.
Therefore, angle PQR is 90 degrees.
 
We hope that clarifies your query.
Regards,
Team
TopperLearning

Answered by  | 16th Oct, 2010, 10:05: AM

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