Six points are there on a circle from which two triangles drawn with no vertex common. Find the probability that none of the sides of the triangles intersect.

In the figure small triangles are drawn joining the mid points of large triangle. Find the length of sides of large triangle.

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the trianlge as centre, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region .

Prove that a line drawn from the vertex of a triangle to its base is bisected by the line joining the mid points of the remaining two sides of the triangle.

Prove that a line drawn from the vertex of a triangle to its base is bisected by the line joining the mid points of the remaining two sides of the triangle.

The point of intersection of the common chords of three circles described on the three sides of a triangle as diameter is

The point of intersection of the common chords of three circles described on the three sides of a triangle as diameter is

Area of an equilateral triangle is 17300 cm^2 . By taking each vertex of the triangle as centre, a circle is drawn at each vertex. The radius of thecircleis half of the length of the side of an equilateral triangle. Find the area of that portion of the triangle which is not included in the circle. (pi=3.14 and sqrt3=1.73 )

Points (1,0) and (2,0) are taken on the axis of x. On the line joining these two points, an equilateral triangle is described, its vertex being in the positive quadrant . Find the equations of circles described on the side of the triangle as diameter.

Points (1,0) and (2,0) are taken on the axis of x. On the line joining these two points, an equilateral triangle is described, its vertex being in the positive quadrant . Find the equations of circles described on the side of the triangle as diameter.