`triangleABC` is inscribed in a circle `x^2-sqrt2x+y^2=0` where `angleABC=pi/2` ,then the max area of triangle ABC is ____

An isosceles triangle ABC is inscribed in a circle x^(2)+y^(2)=a^(2) with the vertex A at (a,0) and the base angle B and C each equal 75^(@) . Then the coordinates of an endpoint of the base are.(-(sqrt(3a))/(2),(a)/(2))( b) (-(sqrt(3a))/(2),a)((a)/(2),(sqrt(3a))/(2))( d) ((sqrt(3a))/(2),-(a)/(2))

An isosceles triangle ABC is inscribed in a circle x^(2)+y^(2)=a^(2) with the vertex A at (a,0) and the base angle B and C each equal to 75, then co-ordinates of an end point of the base are

ABC is an isosceles triangle inscribed in a circle of radius rdot If A B=A C and h is the altitude from A to B C , then triangle A B C has perimeter P=2(sqrt(2h r-h^2)+sqrt(2h r)) and area A= ____________ and = __________ and also ("lim")_(xvec0)A/(P^3)=______

An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2) with one of the vertices at (a,0).What is the equation of the side opposite to this vertex?

A triangle is inscribed in a circle.The vertices of the triangle divide the circle into three arcs of length 3,4 and 5 ,then the area of the triangle is equal to 1.(9sqrt(3)(1+sqrt(3)))/(pi^(2)) 2.(9sqrt(3)(sqrt(3)-1))/(pi^(2)) 3.(9sqrt(3)(1+sqrt(3)))/(2 pi^(2)) 4.(9sqrt(3)(sqrt(3)-1))/(2 pi^(2))

Let (a, b) is the midpoint of the chord AB of the circle x^2 + y^2 = r^2. The tangents at A and B meet at C, then the area of triangle ABC

A right-angled triangle ABC is inscribed in parabola y^(2)=4x, where A is the vertex of the parabola and /_BAC=(pi)/(2). If AB=sqrt(5) then find the area of $ABC.