Question

find the equation of the median ADof a triangle whose vertices A( 0,4) , B(0,0), and C ( 8,0)​

Answer 1

Answer:

4√2 cm

Step-by-step explanation:

Consider triangle ABC of A(0,4) and B(0,0) and C(8,0) and D is the midpoint

By midpoint formula,

D(x,y) = (x1 + x2)/2 , (y1 + y2)/2

D(x,y) = (0+8)/2 , (0+0)/2

D(x,y) = 4 , 0

=> x = 4 , y = 0

By distance formula,

AD = √(x2-x1)^2 + (y2 - y1)^2

AD = √(4-0)^2 + (0-4)^2

AD = √4^2 + (-4)^2

AD = √16 + 16

AD = √32

AD = 4√2 cm

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