### Home > INT2 > Chapter 12 > Lesson 12.2.1 > Problem 12-62

12-62.

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*? Justify your solution in detail. 12-62 HW eTool (Desmos). Desmos Accessibility Homework Help ✎

Use the eTool below to create your equilateral triangles.

Click the link at right for the full version of the eTool: Int2 12-62 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.