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Can you use the SSS Postulate or the SAS Postulate to prove triangle ABC and triangle AED are congruent?

Can you use the SSS Postulate or the SAS Postulate to prove triangle ABC and triangle-example-1
User Cleo
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1 Answer

23 votes
23 votes

From the diagram given,

when you have two triangles like this:

The crossing strokes on AB and PR indicate that both lines are the same in length.

i.e. AB = PR

When you have tiny arcs like we see in

With this information, we can therefore solve the question.

From the question,

AC = AD (single stroke lines)

BC = DE (double stroke lines)

Now there is a theorem that states that "When two sides of a triangle are equal to two sides of another triangle, then the third side of both triangles are necessarily equal"

Therefore, we can conclude that

AB = AE

Thus, the 3 sides of both triangles are equal. Thus SSS is a solution.

Now we can also see that both triangles have the same arc at

Thus, As such, we can also conclude that since angle is equal and we know at least 2 sides are equal, then

SAS is another solution.

Thus the final answer is: Both Apply

Can you use the SSS Postulate or the SAS Postulate to prove triangle ABC and triangle-example-1
User LucolesLTDA
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