### Home > GC > Chapter 6 > Lesson 6.1.4 > Problem 6-37

As Samone looked at the triangles below, 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.” 6-37 HW eTool (CPM). Homework Help ✎ Solve for the missing side of each triangle. How do they compare?

Are you convinced that Samone is correct? Explain.

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

Look at your answers. Is Samone correct? If so, how?

Samone is correct because the triangles are congruent by SSS≅

You will need to view the full version of this eTool to view both triangles.

Once in the eTool, click the ? (help) for instructions on using this tool.

Click the link at right for the full version of the eTool: GC 6-37 HW eTool