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Question

In an equilateral triangle PQR, if p, q and r denote the lengths of the perpendiculars from P, Q, R respectively on the opposite sides, then which of the following is/are correct? 


  1. p ≠ q ≠ r 

  2. p = q = r  

  3. p ≠ q = r   

  4. p = q ≠ r 


Solution

The correct options are
B

p = q = r  


C

p ≠ q = r   


D

p = q ≠ r 


If PQR is an equilateral triangle then the length of the perpendicular dropped from points P, Q and R are also equal.

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