. Analytic Method We have explained in lecture that in the real Cartesian plane, the three altitudes of any triangle all meet at a single point. Using similar ideas, we put A = (0, a), B = (-6,0), C = (c, 0), where a, b, c> 0 are positive real numbers. (a) Show that the three medians of triangle all meet at a single (b) point. Find the equation of line for the angle bisector of ZBAC.

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[Classical Geometries] How do you solve this question? Thank you

1. Analytic Method
We have explained in lecture that in the real
Cartesian plane, the three altitudes of any triangle all meet at a single
point. Using similar ideas, we put A = (0, a), B = (−b, 0), C = (c, 0),
where a, b, c > 0 are positive real numbers.
(a)
Show that the three medians of triangle all meet at a single
(b)
point.
Find the equation of line for the angle bisector of ZBAC.
Transcribed Image Text:1. Analytic Method We have explained in lecture that in the real Cartesian plane, the three altitudes of any triangle all meet at a single point. Using similar ideas, we put A = (0, a), B = (−b, 0), C = (c, 0), where a, b, c > 0 are positive real numbers. (a) Show that the three medians of triangle all meet at a single (b) point. Find the equation of line for the angle bisector of ZBAC.
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