In ` A B C ,=` if `(a+b+c)(a-b+c)=3a c ,` then find `/_Bdot`

A B C D is a rhombus. If /_A C B=40^0, find /_A D Bdot

(i) If 3A = 4B = 6C , find : A : B : C . (ii) If 2a = 3b and 4b = 5c , find: a : c .

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

If in any Delta A B C ,\ /_C=105^0,/_B=45^0, a=2, then find bdot

If A=[(1, 2),( 0, 3)] is written as B+C , where B is a symmetric matrix and C is a skew-symmetric matrix, then find Bdot

If the middle points of the sides B C ,C A , and A B of triangle A B C are (1,3),(5,7), and (-5,7), respectively, then find the equation of the side A Bdot

If the middle points of the sides B C ,C A , and A B of triangle A B C are (1,3),(5,7), and (-5,7), respectively, then find the equation of the side A Bdot

If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of a^(3)+b^(3)+c^(3).

Draw a triangle A B C , with A C=4\ c m ,\ B C=3\ c m\ a n d\ /_C=80^0dot Measure A Bdot Is (A B)^2=(A C)^2+(B C)^2? If not, which one of the following is true: (A B)^2>(A C)^2+(B C)^2 or (A B)^2<(A C)^2+(B C)^2?