Question 1182314
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Only <u>one</u> triangle is possible because of the SAS congruence rule.


Let's say that triangle ABC and triangle PQR had the following measurements<ul><li>angle A = 50, angle P = 50</li><li>AC = 11, PR = 11</li><li>AB = 9, PQ = 9</li></ul>For triangle ABC, the angle A is between the mentioned sides AB and AC
For triangle PQR, the angle P is between the mentioned sides PR and PQ


Diagram:
<img width="50%" src = "https://i.imgur.com/ZpPrZ0C.png">
In other words, if you know two sides of a triangle, and the included angle, then only one triangle is possible. The diagram above shows that if you can claim two different triangles are possible, then you arrive at a contradiction due to the SAS rule.


So I'm not sure why your teacher thinks there are two triangles possible. There may be a typo somewhere.
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