Question

the sss congruence theorem practice
complete this assessment to review what youve learned. it will not count toward your grade.
which of the following triangles are congruent by the sss congruence theorem? enter the lesser number first.
triangle #1: a triangle with sides measuring 2.5 cm, 8 cm, and 6.75 cm in length
triangle #2: a triangle with an angle measuring 60° between sides measuring 2.5 cm and 8 cm in length
triangle #3: a triangle with an angle measuring 111.17° between sides measuring 2.5 cm and 6.75 cm in length, and a third side with a length of 8 cm
(1 point)
triangle # and triangle # are congruent.

Explanation:

Step1: Recall SSS Congruence Theorem

The SSS (Side - Side - Side) Congruence Theorem states that if the three sides of one triangle are equal in length to the three sides of another triangle, then the two triangles are congruent.

Step2: Analyze side - lengths of given triangles

Triangle #1 has side - lengths 2.5 cm, 8 cm, and 6.75 cm. Triangle #2 has two side - lengths 2.5 cm and 8 cm and an included angle of 60°, but we need all side - lengths for SSS. Triangle #3 has two side - lengths 2.5 cm and 6.75 cm and the third side of length 8 cm. The side - lengths of Triangle #1 and Triangle #3 match. So, Triangle #1 and Triangle #3 are congruent by the SSS Congruence Theorem.

Answer:

Triangle #1 and Triangle #3