Question

how can we find the median of a triangle whose three points are given

Answer 1

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.

Step-by-step explanation:

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

=17√22 .

In the similar manner you can calculate lengths of the other two medians.

I HOPE IT HELPS U!

Answer 2

using formula ,

median = { ( x1+x2+x3 )/ 3 , ( y1+y2+y3) / 3 }

here x and y is x and y coordinate of every point of triangle .