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another area computational, BR = RS = SC (2009 HOMC Junior Q9)

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July 18, 2019
geometryarea of a triangleareas

Problem Statement

Let be given △ABC \vartriangle ABC with area (△ABC)=60 (\vartriangle ABC) = 60 cm2^2. Let R,SR,S lie in BCBC such that BR=RS=SCBR = RS = SC and P,QP,Q be midpoints of ABAB and ACAC, respectively. Suppose that PSPS intersects QRQR at TT. Evaluate area (△PQT)(\vartriangle PQT).
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