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
Answers
Answer:
Coordinate of median = [ 3 , 0 ]
Length of median = √(3+1) ^2 + (-3) ^2
=> √(16) + (9)
=> √25
=> 5 units.....
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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