A) acute - angled
B) obtuse - angled
C) right - angled
D) nothing can be said.
Correct Answer: A
Solution :
\[\tan A+\tan B+\tan \text{ }C=\tan A\tan B\tan C>0\] \[\Rightarrow \] either all of \[\tan A,\]\[\tan B\] & \[\tan C\] are +ve or two are \[-ve.\] But in any triangle two angles are never obtuse \[\therefore \] \[\tan A,\]\[\tan B,\]\[\tan C>0\]You need to login to perform this action.
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