Chords are the sides of the circumcentre.Circumcentre lies inside its triangle if all three angles are acute.Third unequal angle is an acute or obtuse.A congruent angle is an angle opposite to the equal sides.The angles opposite to the equal sides of an isosceles triangle are equal.Each angle on a scalene triangle is half that of its opposite side when inscribed in a circle.Cannot be bisected into two equal halves.The longest side is the one which is opposite to the longest angle.The smallest side is one which is opposite to the smallest angle.Refer to the table below for the types of triangles and their properties. Orthocentre: A triangle's orthocentre is the intersection of the perpendiculars drawn from its vertices to its opposite sides. The extended base of the altitude is found where it crosses the altitude. It divides each of the medians in the ratio 2:1, which means it is located at 13% of the distance between each side.Īltitude: A triangle’s altitude is formed by a line segment that crosses through its vertex and is perpendicular to the line containing its base. Median: A median is the line segment connecting the vertex of the triangle to the midpoint of the opposite side of the triangle.Īngle Bisector: An angle bisector is also defined as the angle in an equilateral triangle or the non-congruent angle in an isosceles triangle.Ĭentroid: An intersection of a triangle’s medians (the lines connecting its vertex to its opposite vertex) is a triangle’s centroid.
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