MathDB

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Part of 2000 Dutch Mathematical Olympiad

Problems(1)

Parallelogram and similar triangles

Source: Dutch NMO 2000

10/22/2005
Isosceles, similar triangles QPAQPA and SPBSPB are constructed (outwards) on the sides of parallelogram PQRSPQRS (where PQ=AQPQ = AQ and PS=BSPS = BS). Prove that triangles RABRAB, QPAQPA and SPBSPB are similar.
geometryparallelogramtrapezoidsimilar triangles