Prove that the distance between the circucentre and the orthocentre of a triangle ABC is `Rsqrt(1-8cos A cos Bcos C.)`

Prove that the distance between the circumcenter and the incenter of triangle ABC is sqrt(R^2-2R r)

In Delta ABC it is given distance between the circumcentre (O) and orthocentre (H) is R sqrt(1-8 cos A cos B cos C) . If Q is the midopoint of OH, then AQ is

If O and H be the circumcentre and orthocentre respectively of triangle ABC, prove that vec OA+ vec OB+ vec OC= vec OH .

If S and O be the circumcentre and orthocentre respectively of triangle ABC, prove that vec SA + vec SB + vec SC= vec SO .

Use vectors to prove that in triangleABC : a=bcos C+c cos B .

Prove that in any triangle ABC,c=a cos B+b cosA

In Delta ABC , if angle B = sec^(-1)((5)/(4))+cosec^(-1) sqrt(5) , angle C = cosec^(-1)((25)/(7)) + cot^(-1)((9)/(13)) and c = 3 The distance between orthocentre and centroid of triangle with sides a^(2) , b^(4/3) and c is equal to

If the incircel of the triangle ABC, through it's circumcentre, then the cos A + cos B + cos C is

In a triangle ABC , the line joining the circumcentre and incentre is parallel to BC, then Cos B + Cos C is equal to:

Prove that in any triangle ABC , c = a cos(360-B) + b cos(360-A)