Question

ABE is a triangle. can you use the sss postulate or the sas postulate to prove triangle ABC is congruent to triangle AED?

1. Both apply

2. By SSS only

3.By SAS only

4. Neither apply

Answer 1

The answer is #1 I think Both Apply

Answer 2

Postulate SAS can be used to prove triangle $ABC$ is congruent to triangle $AED.$

What is triangle?

" Triangle is defined as the two dimensional closed figure with three vertices, three sides, and three angles enclosed in it."

According to the question,

Given,

In triangle $ABC$ and $AED$

$\angle ADE = 120\° \ \ \ \ \ \ \ \ \ (1)$

$\angle ACD = 60\°\\\\\angle ACD + \angle ACB = 180\° (linear \ pair)\\\\\implies \angle ACB = 180\° -60\°\\\\\implies \angle ACB = 120\° \ \ \ \ \ \ \ \ \ \ (2)$

From $(1)$ and $(2)$ we get

$\angle ADE \cong \angle ACB$

$AC \cong AD\\\\BC \cong ED$

By SAS postulate ,

Triangle ABC is congruent to triangle AED.

Hence, Option 3 is the correct answer.

Learn more about triangle here

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