Question

In equilateral triangle rst, r has coordinates (0, 0) and t has coordinates of (2a, 0). find the coordinates of s in terms of

a. (a, 2a) (a, a?2) (a, a?3)

Answer 1

can confirm (a, a√3) is the correct answer

Answer 2

Refer to the diagram shown below.

Because Δrst is equilateral, the x-coordinate is a.
Let h = the y-coordinate of s.

Apply the Pythagorean theorem to obtain
h² = (2a)² - a² = 3a²
h = a√3

Answer:
The coordinates of s are (a, a√3)