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Question: Answered & Verified by Expert
In $\triangle A B C$, with usual notation, observe the two statements given below :
(I) $r r_1 r_2 r_3=\Delta^2$
(II) $r_1 r_2+r_2 r_3+r_3 r_1=s^2$
Which of the following is correct?
MathematicsProperties of TrianglesAP EAMCETAP EAMCET 2007
Options:
  • A Both I and II are true
  • B I is true, II is false
  • C I is false, II is true
  • D Both I and II are false
Solution:
1078 Upvotes Verified Answer
The correct answer is: Both I and II are true
We know that $\Delta^2=r r_1 r_2 r_3$
and
$s^2=r_1 r_2+r_2 r_3+r_3 r_1$
So, both the statements are true.

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