Question

find the equation of the sides of an equilateral triangle having vertex (-2,2) where equation of its base is X=0.

Answer 1

Step-by-step explanation:

Given: x+y=2.....(1) is the base of the equilateral triangle and (2,−1) vertex.

Putting (2,−1) in eq.(1)

We have,

2−1



=2

Since (2,−1) doses not satisfy (1) this means the point is vertex opposite to the base.

Now the perpendicular distance of (2,−1) from the line (1) is nothing but the height of the equilateral triangle.

So the perpendicular distance is  

2

​  

 

∣−1∣

​  

=  

2

​  

 

1

​  

.

Again height of an equilateral triangle be =  

2

3

​  

 

​  

× side.

Then,  

2

3

​  

 

​  

× side =  

2

​  

 

1

​  

 

Side =  

3

2

​  

 

​