How to find out the coordinates of a point, given the coordinates of the original body and the distance to it?

Question

Mathematics

We have x, z coordinate system. It contains a body with coordinates x1, z1. Also in the coordinate system is the desired object. The object is static and does not move. The body can move, the distance to the object changes depending on the position of the body. We need to find the coordinates of the object. You can use several body positions for this. In the picture below, I have 2

UPD positions. I realized that you can take the distance to the object as the radius of the circle. If you make such 3 circles, then at their intersection there will be an object. The problem is that I'm bad at math and can't find a formula for this :C

Answer 1

Two positions are enough.
Build a triangle.
All sides of a triangle are known. Next is the geometry of the school level.