![]() ![]() 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. Triangles are classified into different types on the basis of their sides and angles. ![]()
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