In a tiangle ABC if angle C is obtuse, prove that `tanAtanBlt1`

If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a b) (where, a , b , c , are sides opposite to angles A , B , C , respectively).

If A, B and C are angles of a triangle such that angleA is obtuse, then show tan B tan C lt 1.

Statement-1: If A, B, C are the angles of a triangle such that angle A is obtuse, then tan C gt1. Statement-2: In any DeltaABClt we have tanA=(tanB+tanC)/(tanBtanC-1)

The ratio of angles in a triangle ABC is 2:3:7 then prove that a:b:c=sqrt2:2:(sqrt3+1)

Statement-1: In any DeltaABC if A is obtuse, then tanBtanC lt1 Statement-2: In any !ABC , we have tan A + tan B + tan C = tan A tan B tan C

If angle C of a triangle ABC be obtuse, then (A) 0 1 (C) tan A tan B=1 (D) none of these

If in Delta ABC , angle C = 90 ^(@) prove that: ( 1+ tan A)/(1- cot B) xx (1- tan A)/(1+ cot B) =1.

In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

In a triangle ABC, 8R^2=a^2+b^2+c^2 prove that the triangle is right angled

In any triangle ABC, if the angle bisector of /_A and perpendicular bisector of BCintersect, prove that they intersect on the circumcircle of the triangle ABC