Question

Do you believe there is any point that is equidistant from P, F, and T?

Short answer

The point that has the same distance from the points P, F, and T does not exist.

Step-by-step solution

Step 1. Observe the diagram

There are only two points available having the same distance from the point P but anyone from these points is not having the same distance from both F and T.

Step 2. Derive the pair of points having the equidistance points

Only some pair of the points has the equidistance points where the first pair is P and T, the second pair is P and F and the last or third pair is F and T.

Step 3. Make the conclusion

The point having the same distance from the points does not exist in the given figure.