Question

if A(5,1) B(1,5) C(-3,-1) are vertices of triangle ABC then find the length of median AP

Answer 1

Answer:

In the given figure

D is the mid-points of BC

Coordinates of D=(

2

1+(−3)

,

2

5+(−1)

)

∴D=(−1,2)

Now,

Length of AD=

(Y

2

−Y

1

)

2

+(X

2

−X

1

)

2

=

(1−2)

2

+(5−(−1))

2

=

(−1)

2

+(6)

2

=

37

Hence, the length of AD is

37

sq. units.