MathDB
Circle Through Incenter and Orthocenter

Source:

August 8, 2024
geometryincentercircumcircle2022

Problem Statement

In △JMT\triangle JMT, JM=410JM=410, JT=49JT=49, and ∠MJT>90∘\angle{MJT}>90^\circ. Let II and HH be the incenter and orthocenter of △JMT\triangle JMT, respectively. The circumcircle of △JIH\triangle JIH intersects JT↔\overleftrightarrow{JT} at a point P≠JP\neq J, and IH=HPIH=HP. Find MTMT.
Back to ProblemsView on AoPS