VTMO 2026 - Grade 9 - Semifinal - SET 3 - Self-study Question 21

In rectangle ABCD, circle (O) meets AB at E,F and CD at M,N; circle (I) meets AB at G,H and CD at P,Q, in the orders shown. Given AE=FG=CQ=22 cm, HB=12 cm and NP=20 cm, find DM in centimetres.