Question

If (- 1, 3), (1, - 1) and (5, 1) are the vertices of a triangle; find the length of its mediams
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Answer 1

Answer:

Coordinates of A≡(−1,3)

Coordinates of B≡(1,−1)

Coordinates of C≡(5,1)

The median through the vertex C will meet at the mid point of AB.

Coordinate of mid-point on AB=(2(−1)+1,23+(−1))=(0,1)

Now,

Length of median through vertex C= Distance between (5,1) and (0,1)

Therefore,

Length of median =(0−5)2+(1−1)2

⇒ Length of median =(5)2=5 units

Hence the length of median through the vertx C is 5 units.

Step-by-step explanation:

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