Pre-RMO 2015

Geometry Level 4

A square PQRS length of its side equal to 3+√5. LetM be the mid-point of the side RS. Also, let C₁ be the in-circle of triangle PMS and C₂ be the circle that touches the sides PQ, QR and PM. Find the radius of the circle C₂.


The answer is 2.

Tannistha Mondal by tannistha mondal , 20, India

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1 solution

Nibedan Mukherjee
Dec 28, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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