Congruence: Two isosceles triangles are congruent if they have the same length for their two legs and the same vertex angle.Since the base angles are equal, each base angle is equal to (180 - vertex angle)/2. Angles: The sum of the interior angles of an isosceles triangle is always equal to 180 degrees.Area: The area of an isosceles triangle can be calculated using the formula A = (b * h)/2, where b is the length of the base and h is the height of the triangle.The height of an isosceles triangle bisects the vertex angle and divides the triangle into two congruent right triangles. Height: The height of an isosceles triangle is the perpendicular distance from the vertex angle to the base.This means that the perpendicular bisector of the base is also the line of symmetry of the triangle. Perpendicular Bisector: The perpendicular bisector of the base of an isosceles triangle passes through the vertex angle and divides the base into two equal parts.This means that if you fold an isosceles triangle along this line of symmetry, the two halves will be congruent. Symmetry: Isosceles triangles have a line of symmetry that passes through the vertex angle and bisects the base. The vertex angle is the angle formed by the two legs of the triangle, and it is always larger than the base angles. Unequal Vertex Angle: The vertex angle of an isosceles triangle is always different from the base angles.This means that if two sides of a triangle have the same length, the angles opposite those sides are also equal. Equal Base Angles: In an isosceles triangle, the base angles are always equal.GET $15 OF FREE TUTORING WHEN YOU SIGN UP USING THIS LINK Properties of Isosceles Triangles The angle opposite the base is called the vertex angle, and the angles opposite the legs are called the base angles. The two sides that are equal in length are known as the legs of the triangle. The third side, which is not equal in length to the other two sides, is known as the base of the triangle. Definition of an Isosceles TriangleĪn isosceles triangle is defined as a triangle with two sides of equal length. In this article, we will explore the various properties and characteristics of isosceles triangles. Isosceles triangles have some unique properties that distinguish them from other types of triangles, such as equilateral or scalene triangles. An isosceles triangle is a type of triangle in which two sides of the triangle have the same length, and the third side is different from the other two.
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