Book I, Proposition 4
Side-Angle-Side (SAS)

If two triangles have a common angle and if the legs of that angle are common too, then the remaining side, the remaining angles, and the areas of the triangles will be common.



Proof.

Click forward to the last frame. Now drag points A, B, D, and E so that the two triangles common angle and common legs to that angle overlap.




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