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

8-57.

If is equilateral and 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  can be at  or .

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 (Desmos)