Distance Formula

Given that point is equidistant from points and , we need to find the values of .

To determine , use the distance formula. The distance between two points and is given by:

Apply the distance formula to find distances and :

Since is equidistant from and , the distances are equal:

Square both sides to eliminate the square roots:

Subtract 25 from both sides to solve for :

Now solve for by taking the square root of both sides:

Therefore, the values of are .