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

8-57.

If ΔABC 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.