Question

The vertices of a triangle are A(-1,3) B(1,-1)and C(5,1). Find the length of the median through the vertex ​

Answer 1

Answer:

Coordinate of median = [ 3 , 0 ]

Length of median = √(3+1) ^2 + (-3) ^2

=> √(16) + (9)

=> √25

=> 5 units.....

Answer 2

length of the median = 5 , √10 , 5 units

Step-by-step explanation:

Let say Median AD , BE  & CF

D is mid point of BC

D = (1 + 5)/2  , ( - 1 + 1)/2

=> D = (3 , 0 )

A = ( - 1 ,3 )

AD  = √(3 -(-1))² + (0 - 3)² = √16 + 9 = √25 = 5

E is mid point of AC

E = (-1 + 5)/2  , (3 + 1)/2

=> E = (2 , 2 )

B = ( 1 , - 1  )

BE  = √(2-(-1))² + (2 - 1)² = √9 + 1 = √10

F is mid point of AB

E = (-1 + 1)/2  , (3 - 1)/2

=> F = (0 , 1 )

C = ( 5 ,   1  )

CF  = √(5-(0))² + (1 - 1)² = √25 + 0  = 5

length of the median = 5 , √10 , 5 units

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