If the angles A,B and C of a triangle ABC satisty the relation 2B=A+C, find the measure of `angle B`.

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that angles of the triangle are 90^@-A/2,90^@-B/2 and 90^@-C/2 respectively.

Angles A, B and C of a triangle ABC are equal to each other. Prove that DeltaABC is equilateral.

Bisectors of the angles B and C of an isosceles triangle with ABC with AB=AC intersect each other at O. show that the external angle adjacent to angleABC is equal to angleBOC .

The angle of triangle A, B, C are in AP and C=3A . Find angle B

Let the angles A, B, C of triangle ABC be in A.P. and let b:c= sqrt3:sqrt2 . Then angle A is :

In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation 2tanx -k(1+tan^2x)=0 , where k E (0, 1), then the measure of the angle Cis

In a right angle triangle ABC, with right angle at C, the value of tan A + tan B is :

If in Delta ABC, /_ C=pi/8, a= sqrt2 and b= sqrt(2+sqrt2) then find the measure of angle A (in degree).

In a triangle ABC, cos 3A + cos 3B + cos 3C = 1 , then find any one angle.

Point charges 4xx10^-6C and 2xx10^-6 C are placed at the vertices A and B of a right angled triangle ABC respectively. B is the right angle, AC = 2xx10^-2 m and BC = 10^-2 m. Find the magnitude and direction of the resultant electric intensity at C.