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Question: If the vertices of a triangle are A (1, 4), B (3, 0) and C (2, 1), then the length of the median pas...

If the vertices of a triangle are A (1, 4), B (3, 0) and C (2, 1), then the length of the median passing through C is-

A

1

B

2

C

2\sqrt{2}

D

3\sqrt{3}

Answer

1

Explanation

Solution

D = (1+32,4+02)\left( \frac{1 + 3}{2},\frac{4 + 0}{2} \right)

= (2, 2)

CD = (2–2)2+(2–1)2\sqrt{(2–2)^{2} + (2–1)^{2}}

= 1