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)

Question

Mathematics

Alexzander Joseph

17 July, 04:10

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)

+1

Answers (1)

Know the Answer?

Beckett Lam · Answer 1

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)

In equilateral triangle rst, r has coordinates (0, 0) and t has coordinates of (2a, 0). find the coordinates of s in terms ofa. (a, 2a) (a, a?2) (a, a?3)

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)