In a non right triangle P Q R , the median from R meets the sides P Q at S , the

Aganippe76 2022-07-11 Answered
In a non right triangle P Q R, the median from R meets the sides P Q at S, the perpendicular from P meets sides Q R at E and R S and P E intersect at O. p = 3 , q = 1 and circumradius of P Q R is 1.
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Answers (1)

Antonio Dickerson
Answered 2022-07-12 Author has 5 answers
Note that P E is a median and hence P E = 3 O E. So P Q R = 3 × O Q R.
The question states that P Q R is not a right angled triangle otherwise R = 90 0 is another obvious configuration for the given sides and circumradius.
As p = 3 > q = 1 , Q is acute. That leads to only other possible configuration of P being obtuse.
If C is the circumcenter, you can see why P = 120 0 P Q = P R and E is the midpoint of Q R.
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