Question

Find the length of the medians of the triangle whose vertices are (2, 4), (0, 6) and 
(1, 2).​

Answer 1

Step-by-step explanation:

ANSWER

Let A(−6,−2)B(2,−2) and c(−2,−5) be the vertices of ΔABC.

Midpoint of AB=p(x

1

,y

1

)=(

2

−6+2

,

2

2−2

)=(−2,0)

Midpoint of BC=Q(x

2

,y

2

)=(

2

2−2

,

2

−2−5

)=(0,

2

−7

)

Midpoint of AC=R(x

3

,y

3

)=(

2

−6−2

,

2

2−5

)=(−4,

2

−3

)

Length of the median

PQ=

(−2−(−2))

2

+(−5−0)

2

=

0+25

=5 units