Locus of the Incenter

Geometry Level 5

Let \(\mathbf{P}\) be the locus of the incenters of all possible right triangles with a common hypotenuse. If the length of this common hypotenuse is \(1\), and the area locus \(\mathbf{P}\) encloses is \(A\), then find \[\lfloor 1000A\rfloor\]

×

Problem Loading...

Note Loading...

Set Loading...