CHALLENGE Prove Cevas Theorem: If P is any point inside nABC, then } AY YC p } CX XB p }

Chapter 6, Problem 6.6.29

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CHALLENGE Prove Cevas Theorem: If P is any point inside nABC, then } AY YC p } CX XB p } BZ ZA 5 1. (Hint: Draw lines parallel to }BY through A and C. Apply Theorem 6.4 to nACM. Show that nAPN , nMPC, nCXM , nBXP, and nBZP , nAZN.) CBPYN

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