Triangle ABC has a side measuring 7 inches, a side measuring 10 inches, and an angle measuring 38°. To construct another triangle that is DEFINITELY congruent to triangle ABC with only this information, which statement is correct about triangle ABC?
Accepted Solution
A:
The complete question gives the following options: A) The 7-inch side and the 10-inch side must make a 52° angle. B) The 7-inch side and the 10-inch side must make the 38° angle. C) It does not matter whether or not the 7-inch side and the 10-inch side make a 52° angle. D) It does not matter whether or not the 7-inch side and the 10-inch side make the 38° angle.
According to the SAS rule for triangle congruency, two triangles are congruent if they have congruent two sides and the angle included.
Therefore, the only way to build a triangle congruent to ABC is to say that the given angle is the one included between the two sides. Therefore, the correct answer is: B) The 7-inch side and the 10-inch side must make the 38° angle.