A (-4,2). B(6.4) and C(2,-2) are the vertices of A ABC. Find : i) the equation of median AD I ii) the equation of altitude BM iii) the coordinates of centroid of Triangle ABC iv) the equation of right bisector of AB.
Answers
Answer:
Median is a line from vertex to the opposite side which divides the opposite line in two equal line segments.
A (4, 2), B (1, -2), and C (-2, 6): These are the co-ordinates of a triangle with sides AB, BC, and CA.
You can easily calculate the mid points of the sides of the triangle by mid-point formula.
Point of mid-point of a line =x1+x22,y1+y22
where x1,y1 and x2,y2 are end points of that line.
So, mid-point of AB =4+12,2+(−2)2
=52,0 [Let this point be D]
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Now you can calculate the length of AD by distance formula.
Distance between two points=(x1−x2)2+(y1–y2)2−−−−−−−−−−−−−−−−−−√2
where x1,y1 and x2,y2 are end points of that line.
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Length of AD = (4−5/2)2+(2–0)2−−−−−−−−−−−−−−−−√2
(94+4−−−−−√2
174−−√2
Step-by-step explanation: