isosceles triangle
An isosceles triangle is a type of triangle that has two sides of equal length
An isosceles triangle is a type of triangle that has two sides of equal length. This means that two of its three sides are the same length. Additionally, the two angles opposite the equal sides are also equal.
Key characteristics of an isosceles triangle include:
1. Two sides of equal length: These are called the legs of the triangle.
2. Two angles of equal measure: These angles are opposite the equal sides and are referred to as the base angles.
3. The third angle, opposite the unequal side, is called the vertex angle.
Properties and formulas related to isosceles triangles:
1. Base angles theorem: The base angles of an isosceles triangle are always congruent. This theorem states that if two sides of a triangle are equal, then the angles opposite those sides are also equal.
2. Perpendicular bisector: The perpendicular bisector of the base of an isosceles triangle passes through the vertex angle and divides the triangle into two congruent right triangles.
3. Altitude: The altitude of an isosceles triangle is a line segment drawn from the vertex angle of the triangle to the base, forming a right angle. The altitude divides the triangle into two congruent triangles.
4. Area: The area of an isosceles triangle can be calculated using the formula A = (b * h) / 2, where A represents the area, b is the length of the base, and h is the perpendicular height from the base to the vertex angle.
Overall, isosceles triangles have unique properties and symmetry due to their equal side lengths and congruent base angles. They frequently appear in geometric constructions, trigonometry, and various mathematical problems.
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