In a Scalene triangle, all sides and all angles are unequal. The opposite angles of the two equal sides are also equal to each other.The third side is referred to as the base of the triangle and the height is calculated from the base to the opposite vertex.Two sides of the isosceles triangle are always equal.It can be said that any two sides are always congruent. In an Isosceles triangle, two sides are equal and the two angles opposite to the sides are also equal. The orthocenter and centroid are the same.The angular bisector, altitude, median, and perpendicular line are all same and here it is AE.There exist three lines of symmetry in an equilateral triangle.All angles are equal and are equal to 60°.We can calculate the individual angles of an equilateral triangle. Since all the interior angles are equal and the sum of all the interior angles of a triangle is 180° (one of the Properties of Triangle). In an Equilateral triangle, all three sides are equal to each other as well as all three interior angles of the equilateral triangle are equal. Based on the characteristics of angles.Ĭlassification of Triangles based on Sides Equilateral Triangle.For similar triangles, the angles of the two triangles have to be congruent to each other and the respective sides should be proportional.Ĭlassification of triangles is done based on the following characteristics:.The difference between the length of any two sides is always lesser than the third side.Hence, the perimeter of a triangle is equal to the sum of lengths all three sides of the triangle. The perimeter of a figure is defined by the overall length the figure is covering.For instance, in a right-angled triangle, the side opposite to 90° is the longest side. The side opposite to the largest angle is the largest side of the triangle.The sum of the length of any two sides of a triangle is always greater than the third side.In the above shown ΔABC, ∠ACD= ∠ABC+ ∠BAC Exterior angle property: The Exterior angle of a triangle is equal to the sum of Interior opposite and non-adjacent angles (also referred to as remote interior angles).A Triangle has 3 sides, 3 vertices, and 3 angles.In the Triangle ΔABC shown above, ∠A+ ∠B+ ∠C= 180°, interior angles of a triangle will be greater than 0° and less than 180°. Angle Sum Property: The sum of all three interior angles is always 180°.There are several properties on triangles that justify a lot of applications and are useful for theorems. Theorem - Angle opposite to equal sides of an isosceles triangle are equal | Class 9 Maths.
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