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

8-57.

If and

*, then what do you know about the coordinates of vertex*

*? Prove your answer is true.*

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

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

Vertex

Use the eTool below to create your equilateral triangles.

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