Question

An equilateral triangle, with the coordinates of 2 vertices is labeled, as shown below. Which of the following are the coordinates of the 3rd vertex?

(0, a)

(3a, 3a)

(3a√(3), 3a)

(3a, 3a√(3))

(3a√(3), 3a√(3))

Answer 1

Use the points (0,0) and (6a,0) to determine the Distance between each sides of the triangle

Answer 2

Assume the 3rd vertices is (x,y) then the Distance between this point and the point (6a,0) should be equal to the answer you found between (0,0) and (6a,0)

Answer 3

use that to solve for (x,y)

Answer 4

thnx again!