In $\triangle A B C$, with usual notation, observe the two statements given below : (I) $r r_1 r_2…
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?
Both I and II are true
I is true, II is false
I is false, II is true
Both I and II are false
Solution
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.