Geometry with a Square

Geometry Level 3

Let \( M \) be an arbitrary point inside a unit square \( ABCD \). Consider points \( P, Q, R \) defined as points of intersection of medians of \( \triangle ABM, \triangle BCM, \triangle CDM \). The length of the segment between \(P \) and midpoint of \( QR \) can be expressed as \( \frac{a \sqrt{b}}{c} \), find \( a + b + c \).

×

Problem Loading...

Note Loading...

Set Loading...