Question

If A(2,2), B(-4,-4), C(5, -8) are the vertices of a triangle ABC, then the length of the median through the vertex C is:

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.

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 BC D=(

2

0+4

,

2

0+2

)=(2,1)

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

Length of the median A(−2,4) and D (2,1)=

(2+2)

2

+(1−4)

2

=

16+9

=

25

=5

Step-by-step explanation:

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