Question 1
SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
A circle of radius 17 is inscribed in triangle $ABC$ and is tangent to side $AB$ at $P$. Given $AP=19$ and $PB=21$, find the perimeter of $ABC$.
Original source figure (schematic), preserving its mathematical labels and arrangement.
A circle of radius 17 is inscribed in triangle $ABC$ and is tangent to side $AB$ at $P$. Given $AP=19$ and $PB=21$, find the perimeter of $ABC$.
Original source figure (schematic), preserving its mathematical labels and arrangement.