Question

Triangle ABC has vertices A(0, 2), B(x, 0), and C(0, -2). Determine the value of x that makes triangle ABC a regular triangle.

Answer 1

Answer:

$x = \sqrt{12 } = 2 \sqrt{3} \: or \\ x = - \sqrt{12} = - 2 \sqrt{3}$

Step-by-step explanation:

In order for the triangle to be a right one we need every side to be of the same length. see the photo for furyher explanation.