Geometry: Congruent Triangles
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Given: The triangle ABC is an equilateral triangle and the angle 1 = the angle 2 = the angle 3.
Prove: The triangle AFC, the triangle CEB and the triangle BDA are all congruent.
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Solution Summary
The congruence of triangles attached to an equilateral triangle is proven in this solution.
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Proof:
We show that triangle AFC is congruent to triangle BDA
From the condition, triangle ABC is equilateral, then AC=AB.
Also from the condition, angle 1 = angle 2.
Now I claim that angle ABD = angle ...
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