Question

in the figure, ABC is an equilateral triangle. write the coordinates of A.​

Answer 1

Answer:

A(6.9,0) is the coordinate of A

Step-by-step explanation:

since ABC is an equilateral triangle.

AB = BC = AC

from figure we can calculate

BC = 4 (from origin to positive z-axis) + 4 (from origin to negetive y-axis)

BC = 8

therefore, AB = 8 and AC = 8

Taking ABO right-triangle

AB^2 = OA^2 + OB^2

OA = √AB^2 - OB^2

$\sqrt{ {8}^{2} - {4}^{2} } = \sqrt{64 - 16} = \sqrt{48} = 6.928 = 6.9$

therefore OA = 6.9

X coordinate of A is 6.9

Y coordinate of A is 0

therefore A(6.9,0)