![]() Geometry: Isosceles triangles are an essential part of geometry, and they are used in various mathematical proofs and constructions.The use of isosceles triangles in these structures allows for stability and uniformity. Architecture: Isosceles triangles are commonly used in architecture, particularly in the construction of pyramids, roofs, and arches.The base angles of an isosceles trapezoid are equal, but the non-base angles are not equal. Isosceles trapezoid is a quadrilateral with two parallel sides that are equal in length, and two non-parallel sides that are not equal in length.The vertex angle of an obtuse isosceles triangle is always less than 90 degrees but greater than the base angles. An obtuse isosceles triangle is a triangle where one angle is obtuse, and the other two angles are acute.The vertex angle of an acute isosceles triangle is always greater than 45 degrees. An acute isosceles triangle is a triangle where all three angles are acute angles.The vertex angle of a right isosceles triangle is 90 degrees, and the base angles are each 45 degrees. A right isosceles triangle is a triangle with a right angle and two legs of equal length.In an equilateral triangle, all three angles are also equal in size, and the triangle has a line of symmetry through each angle. Equilateral Triangle: An equilateral triangle is a special case of an isosceles triangle, where all three sides of the triangle are equal in length.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. ![]()
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