CBSE Class 10 Answered

Since the traingle is equilateral, all its side would be equal.

By using the distance formula we can find the side of the equilateral traingle

(x₂ - x₁)² + (y₂ - y₁)² = (3 -(-2))² + (4-3₁)² =25 +1 = 26

Let (a,b) be the corodinates of the third vertex.

Now form the two equation by using distance formula once for the coordinates (a,b) and (3,4)

Then for the coordinate points (a,b) and (-2,3)

On solving the two equations you will get the value of the coordinate points (a,b)