### Home > GC > Chapter 8 > Lesson 8.1.5 > Problem 8-57

8-57.

If Δ*ABC* is equilateral and if *A*(0, 0) and *B*(12, 0), then what do you know about the coordinates of vertex *C*? 8-57 HW eTool (Desmos). Homework Help ✎

Use the eTool below to create your equilateral triangles.

Click the link at right for the full version of the eTool: GC 8-57 HW eTool

Notice the position of the third vertex for both triangles. They both have an *x*-coordinate of 6.

Use the patterns you learned for special right triangles to find the height of the congruent equilateral triangles.