![]() If in an isosceles triangle, each of the base angles is 40°, then the triangle is: The triangle is an equilateral triangle.ĥ. So, each interior angle of a given triangle is 60°, which means each side of the triangle is equal (the sides opposite to equal angles are equal). The measure of the third angle of the given triangle comes out to be 60°. If two angles of a triangle are 60° each, then the triangle is:īy interior angle sum property of triangle, In the right angled isosceles triangle, the center of the circumcircle lies on the hypotenuse and the radius of the circumcircle is half the length of the hypotenuse.Īn isosceles triangle whose two equal sides length is ‘a’ unit and length of its base is ’b’ unit. In the right angled isosceles triangle, the altitude on the hypotenuse is half the length of the hypotenuse. In the right angled isosceles triangle, one angle is a right angle (90 degrees) and the other two angles are both 45 degrees. Two isosceles triangles are always similar. The medians drawn from vertex B and vertex C will not bisect the opposite sides AB and AC. The median drawn from vertex A will bisect BC at right angles. In the above figure, triangle ADB and triangle ADC are congruent right-angled triangles. The altitude from the vertex divides an isosceles triangle into two congruent right-angled triangles. The altitude from vertex A to the base BC is the angle bisector of the vertex angle ∠ A. The altitude from vertex A to the base BC is the perpendicular bisector of the base BC. In the above figure, ∠ B and ∠C are of equal measure. The angles opposite to equal sides are equal in measure. In the above figure, sides AB and AC are of equal length ‘a’ unit. Now, we will discuss the properties of an isosceles triangle.Īn Isosceles Triangle has the Following Properties: Obtuse angled triangle: A triangle whose one interior angle is more than 90 0. ![]() Right angled triangle: A triangle whose one interior angle is 90 0. Scalene triangle: A triangle whose all three sides are unequal.Ĭlassification of Triangles on the Basis of their Angles is as FollowsĪcute angled triangle: A triangle whose all interior angles are less than 90 0. Isosceles triangle: A triangle whose two sides are equal. Each of them has their own individual properties.Ĭlassification of Triangles on the Basis of their Sides is as Follows:Įquilateral triangle: A triangle whose all the three sides are equal. ![]() An acute triangle may be equilateral, isosceles, or scalene.Triangles are classified into different types on the basis of their sides and angles. In an acute triangle, all angles are less than right angles-each one is less than 90 degrees. An obtuse triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle-it is more than 90 degrees. A right triangle may be isosceles or scalene. In a right triangle, one of the angles is a right angle-an angle of 90 degrees. An equiangular triangle is a kind of acute triangle, and is always equilateral. In an equiangular triangle, all the angles are equal-each one measures 60 degrees. A scalene triangle may be right, obtuse, or acute (see below). In a scalene triangle, none of the sides are the same length. An isosceles triangle may be right, obtuse, or acute (see below). In an isosceles triangle, two sides are the same length. An equilateral triangle is always equiangular (see below). In an equilateral triangle, all three sides are the same length. ![]() Or, it may be classified by what kind of angles it has. A triangle may be classified by how many of its sides are of equal length. A triangle has three sides and is made of straight lines.
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