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Stewart's Theorem

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Explanations 1

Consider the diagram. Suppose that in triangle ABCABCABC, we draw DDD on BCBCBC and BD=mBD=mBD=m, AB=cAB=cAB=c, AC=bAC=bAC=b, CD=nCD=nCD=n, m+n=BC=am+n=BC=am+n=BC=a, AD=dAD=dAD=…
By Vincent Huang, Rajiv Movva, Max Schindler, Farrell Eldrian Wu

Problems 1

In triangle ABCABCABC, FFF is on segment ABABAB such that CFCFCF bisects ∠ACB\angle ACB∠ACB. Points DDD and EEE are on line CFCFCF such that lines AD,BEAD,BEAD,BE are perpendicu…