Maths_09_Eng_Part_01

Circles If we join the remaining pair of points also, we get a triangle; and the circle passes through all its vertices. Such a circle, passing through all three vertices of a triangle In GeoGebra, we can draw a Circle is called the circumcircle of the triangle. Through 3 Points by using a tool of this name. Make an angle Slider α and draw We can draw the circumcircle of any triangle by choosing a triangle with one angle α. Draw its as centre, the point of intersection of the perpendicular circumcircle and mark its centre using bisectors of two sides, as we have done just now. Midpoint or Centre. Move the slider to change α and see how the position of circumcentre changes. When is it inside the triangle? When is it outside? Will it be on a side of the triangle at any time? We can note another thing here. In our example, we drew the perpendicular bisectors of the bottom and left sides of the triangle to get the centre of the circumcircle. Since the right side is also a chord of the circumcircle, its perpendicular bisector also passes through the centre. In any triangle, the perpendicular bisectors of all three sides intersect at a single point. 77