Question

the vertices of a triangle are a(-2,2) , b(4,4) and c(8,2) . find the length of the medians to the sides (I)AB, (ii)AC and (iii)BC.​

Answer 1

Answer:

A median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side.

Median passing through C will pass through mid point of AB.

Mid point of two points (x

1

,y

1

) and (x

2

,y

2

) is calculated by the formula (

2

x

1

+x

2

,

2

y

1

+y

2

)

Using this formula, mid point of AB=(

2

2−4

,

2

2−4

)=(−1,−1)

Distance between two points (x

1

,y

1

) and (x

2

,y

2

) can be calculated using the formula

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Distance between the points C(5,−8) and (−1,−1)=

(−1−5)

2

+(−1+8)

2

=

36+49

=

85