Understanding Isosceles Triangles | Definition, Properties, and Formulas

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 the three sides of the triangle are the same length, and the remaining side is of a different length. The two angles opposite the equal sides are also equal in measure.

In an isosceles triangle, the side opposite the base is called the “altitude” or “height” of the triangle. The altitude bisects the base, dividing it into two equal segments.

Mathematically, you can denote an isosceles triangle ABC, where AB = AC (the equal sides) and angle B = angle C (the equal angles). The remaining angle, angle A, is the vertex angle. The sum of the angles in any triangle always adds up to 180 degrees, so in an isosceles triangle, angle A + angle B + angle C = 180 degrees.

Since an isosceles triangle has two equal sides, it also has two equal angles. Conversely, if two angles of a triangle are equal, then the opposite sides are also equal, making it an isosceles triangle.

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