The triangles ABC and AED are congruent.
What is SSS congruence?
SSS congruence is when all the sides of the triangle are equal to all the sides of the other traingle.
We can prove the congruence below:
In the figure, it is given that BC = DC.
In the figure, it is also given that AB = AE = 7
We can see an equilateral triangle ACD that has common sides with ABC and AED. From this, we can see that AC = AD.
This means that all the three sides of the triangle ABC is equal to all the three sides of the triangle AED.
This means that the triangles ABC and AED are congruent by SSS or the side-side-side congruence rule.
The two triangles are congruent.
Therefore, we have found that the triangles ABC and AED are congruent because of the SSS congruence rule.
Learn more about the SSS congruence rule here: https://brainly.com/question/11346730
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