Question

Find the length of the median AP of ∆ABC whose

vertices are A(–1, 1), B(5, –3) and C(3, 5).


Solution :

P is the midpoint of seg AB

By midpoint formula,

x co-ordinate of point P =
____

y co-ordinate of point P =____

Co-ordinates of point P are ____


d (A, P) = √____

d (A, P) = ______

Length of median AP is _____
units​

Answer 1

Answer:

To find the coordinate of D;-

D is the midpoint of BC

Coordinate of D=(

2

1+(−3)

,

2

5+(−1)

)

Coordinate of D=(−1,2)

Now,

To find the length of AD;-

=

(Y

2

−Y

1

)

2

+(X

2

−X

1

)

2

=

(1−2)

2

+(5−(−1))

=

(−1)

2

+(6)

2

Hence, we get AD=

37

Answer 2

Answer:

5 unit

Step-by-step explanation: