The height of an equilateral triangle is very cool because it can be represented with a handy formula that only requires knowing the length of a side of the triangle! In the case of equilateral triangles, all sides are congruent which is why we get the special relationship that we do. In this video I show you a geometric proof for the equilateral triangle height formula/ With this formula you can quickly get an equally handy area formula for equilateral triangles, and I have a video or two on that as well, including a proof, so check that out too! This is one of many properties of equilateral triangles worth knowing! Let me know if you would like to see more mathematical proofs, or more geometry proofs in general.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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Proof: Height of an Equilateral Triangle Formula
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