MathDB

2

Part of 2009 Dutch IMO TST

Problems(1)

double segment given, equal segments wanted

Source:

8/4/2019
Let ABCABC be a triangle, PP the midpoint of BCBC, and QQ a point on segment CACA such that ∣CQ∣=2∣QA∣|CQ| = 2|QA|. Let SS be the intersection of BQBQ and APAP. Prove that ∣AS∣=∣SP∣|AS| = |SP|.
geometryequal segmentsmidpoint