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August 12th, 2018, 04:08 AM   #1
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Bisectors

ABC is a triangle B' is a point in AC such that BB' is a bisector of the angle B, similarly CC' is the bisector of the angle C. Show that m(A)= 60 degree if and only if BC=BC'+CB'.
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August 13th, 2018, 05:24 AM   #2
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m(A) = 60 degrees if and only if AC² + AB² = BC² + AB.AC.

Use the angle bisector theorem to show that BC = BC' + CB' if and only if AC² + AB² = BC² + AB.AC.
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