### Home > CCG > Chapter 6 > Lesson 6.1.5 > Problem6-47

6-47.

As Samone looked at the triangles at right, she said, I think these triangles are congruent.” Her teammate, Darla, said, But they don’t look the same. How can you tell?” Samone smiled and said, “Never trust the picture! Look at the angles and the sides. The measures are all the same.”

1. Solve for the missing side of each triangle. How do they compare?

Use the Law of Cosines to solve for the missing sides on each triangle.

$c = 3\sqrt{3}$
$d = 3$

2. Are you convinced that Samone is correct? Explain.

Samone is correct because the triangles are congruent by $\text{SSS}≅$