Base angles
Base angles are a concept in geometry that refers to the two angles opposite the two equal sides of an isosceles triangle
Base angles are a concept in geometry that refers to the two angles opposite the two equal sides of an isosceles triangle. In an isosceles triangle, the base angles are always congruent, meaning they have the same measure.
To understand the concept of base angles, let’s consider an isosceles triangle, ABC, where sides AB and AC are of equal length. The base angles of this triangle are the angles opposite sides AB and AC, which are angles ∠B and ∠C.
Because sides AB and AC are congruent, the angles opposite them, ∠B and ∠C, are also congruent. Therefore, we can say that ∠B ≅ ∠C.
Why are base angles congruent in an isosceles triangle? This can be explained using the Isosceles Triangle Theorem, which states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent as well. In the case of an isosceles triangle, the two equal sides are the legs, and the angle opposite the base is the vertex angle.
So, in summary, the base angles of an isosceles triangle are always congruent. This property helps in solving various problems related to angles and lengths within isosceles triangles.
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