Question

Suppose you were asked to find a point 5 cm from P, 5 cm from F, and 5 cm from T. Is there such a point?

Short answer

There is no point available that has the same distance of 5 cm from the points P, F, and T.

Step-by-step solution

Step 1. Make circles for the points P, F and T

Taking P, F, and T as center points make a circle for each radius 5 cm.

Step 2. Observe the resulting diagram

The circles with center P and F are having the same points but the circle with center T is not having any point which it shares with the other two circles.

Step 3. Make conclusion from the observation

As only two circles with the centers,P and F are sharing points so there is no point available that has an equal distance of 5 cm from the points P, F, and T.