Question

Finding Congruent Figures Two of these three triangles are congruent. Choose the triangle that is not congruent to the other two. A triangle has 1 side length of 2.8 centimeters and 2 side lengths of 2.6 centimeters. The angles opposite to sides with length of 2.6 centimeters are 58 degrees. The other angle is 64 degrees. A triangle has side lengths of 2.1 centimeters, 2.8 centimeters, and 2.6 centimeters. The angle opposite to side with length 2.1 centimeters is 45 degrees, opposite to side length of 2.6 centimeters is 62 degrees, and opposite to side length of 2.8 centimeters is 73 degrees. A triangle has side lengths of 2.1 centimeters, 2.8 centimeters, and 2.6 centimeters. The angle opposite to side with length 2.1 centimeters is 45 degrees, opposite to side length of 2.6 centimeters is 62 degrees, and opposite to side length of 2.8 centimeters is 73 degrees.

Answer 1

The lengths of the sides and the measure of the interior angles of the

three triangles determines which of the triangles are congruent.

Correct response;

• The first triangle is not congruent to the other two triangles

Which method is used to determine the triangles that are congruent?

According to Side-Side-Side postulate, two triangles are congruent if

the lengths of the three sides of one triangle are equal to the lengths of

the three sides of the other triangle

The lengths of the sides of the second triangle  are;

• 2.1 centimeters, 2.8 centimeters, and 2.6 centimeters

The side length of the third triangle are;

• 2.1 centimeters, 2.8 centimeters, and 2.6 centimeters

Therefore; the second and the third triangles are congruent.

However, the side lengths of the first triangle are;

• 2.8 centimeters, 2.6 centimeters, and 2.6 centimeters

Given that the two of the sides of the first triangle are equal to 2.6

centimeters, while non of the sides of the second and third triangle are

equal, we have;

• The first triangle is not congruent to the second and third triangles.

Learn more about the rules of congruency here;

https://brainly.com/question/8531982

Answer 2

I am sorry, I am late but for future people here is the answer. :))