If equilateral triangles are constructed on the sides of any triangle, prove that the distances between...

If equilateral triangles are constructed on the sides of any triangle, prove that the distances between the vertices of the original triangle and the opposite vertices of the equilateral triangles are equal.

Solutions

Expert Solution

Let's consider a triangle ABC and 3 equilateral triangles are constructed on the sides of ABC.

Here the distances between the vertices of the original triangle and the opposite vertices of the equilateral triangles AD, BE and CF.

So we have to prove that AD = BE = CF

Hence proved

milcah answered 1 year ago

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