We have shown that in an isosceles triangle, the angles opposite the congruent sides are congruent. This was the Isosceles Triangle Theorem which we proved two weeks ago. In this post, we are gong to learn a slightly related theorem: a theorem that states that if in a triangle, two sides are not congruent, then […]

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# Posts tagged with 'isosceles triangle theorem'

## Proof that Equilateral Triangles are Equiangular

In the previous post, we have proved the Isosceles Triangle Theorem. The theorem states that the angles opposite to the two congruent sides of an isosceles triangle are congruent. In this post, we use the said theorem to prove that equilateral triangles are equiangular. Theorem Equilateral triangles are equilangular.

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## The Proof of the Isosceles Triangle Theorem

An isosceles triangle is a triangle whose two sides are congruent. In the figure below, is an isosceles triangle and . The Isosceles Triangle Theorem states that the angles opposite to the two congruent sides of an isosceles triangle are congruent. In the figure above, the theorem states that since , . The proof to […]

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