The lengths of the sides of a triangle are `alpha-beta, alpha+beta` and `sqrt(3alpha^2+beta^2), (alpha>beta>0)`. Its largest angle is

The lengths of the sides of a triangle are alpha-beta,alpha+beta and sqrt(3 alpha^(2)+beta^(2)),(alpha>beta>0) Its largest angle is

The coordinates of the vertices of a triangle are (alpha_1 , beta_1) , (alpha_2 , beta_2) and (alpha_3 , beta_3) Prove that the coordinates of its centroid are (alpha_1 + alpha_2 + alpha_3)//(3) , (beta_1 + beta_2 + beta_3)//(3) .

If the sides of two sides of a right angled triangle are (cos2 alpha+cos2 beta+2cos(alpha+beta)) and (sin2 alpha+sin2 beta+2sin(alpha+beta)) then find the hypotenuse

If the sides of a right angled triangle are {cos 2 alpha + cos 2 beta + 2 cos (alpha+beta)} and {sin 2 alpha+sin 2 beta + 2 sin (alpha+beta)} then the length of the hypotneuse is

If the sides of a right angled triangle are {cos 2 alpha + cos 2 beta + 2 cos (alpha+beta)} and {sin 2 alpha+sin 2 beta + 2 sin (alpha+beta)} then the length of the hypotneuse is

If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are positive then the smallest value of alpha is

If 0<=alpha,beta<=90^(@) and tan(alpha+beta)=3 and tan(alpha-beta)=2 then value of sin2 alpha is

If alpha , beta are the roots of ax^2 + bx + c=0 then alpha beta ^(2) + alpha ^2 beta + alpha beta =

If alpha,beta are the roots of ax^(2)+bx+c-0 then alpha beta^(2)+alpha^(2)beta+alpha beta=