MathDB
double segment given, equal segments wanted

Source:

August 4, 2019
geometryequal segmentsmidpoint

Problem Statement

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|.
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