A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot be

An equilateral triangle is inscribed in a circle of radius 6cm. Find its side.

Prove that the distance between the circumcenter and the orthocentre of triangle ABC is Rsqrt(1-8cosAcosBcosC)

An isosceles triangle of vertical angle 2theta is inscribed in a circle of radius a . Show that the area of the triangle is maximum when theta=pi/6 .

Assertion: If coordinates of the centroid and circumcentre oif a triangle are known, coordinates of its orthocentre can be found., Reason: Centroid, orthocentre and circumcentre of a triangle are collinear. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3,4 and 5 units. Then area of the triangleis equal to:

If a triangle is inscribed in a circle, then prove that the product of any two sides of the triangle is equal to the product of the diameter and the perpendicular distance of the thrid side from the opposite vertex.

ABC is an isosceles triangle inscribed in a circle of radius r , if AB = AC and h is the altitude from A to BC . If the triangleABC has perimeter P and triangle is area then lim_( h to 0) 512 r Delta/p^(3) equals

ABC is an equilateral triangle inscribed in a circle of radius 4 cm. Find the area of the shaded portion.

ABC is an isosceles triangle inscribed in a circle of radius r. If AB=AC and h is the altitude form A to BC. If P is perimeter and A is the area of the triangle then find the value of lim_(hto0)(A)/(P^(3)) .

If abscissa of orthocentre of a triangle inscribed in a rectangular hyperbola xy=4 is (1)/(2) , then the ordinate of orthocentre of triangle is