Chapter 13.8, Problem 7WE

To determine

To find : the third point of the equilateral triangle in terms of

Answer to Problem 7WE

Hence, coordinate of third point is

Explanation of Solution

Given information :

Let, is a equilateral triangle with vertices

  as shown in the figure,

  

Calculation:

Let the missing vertex beThen,

  

Now, for a equilateral triangle length of all sides are equal, that is,

  

Therefore,

  

and,

  

Again from (i),

  

Hence, coordinate of third point is