Find the length CK – median of triangle ABC, if A (2; -4; 2), B (-10; -2; 14), C (0; -3; 5).

univerkov | September 8, 2021 | education

Calculate the coordinates of point K (midpoint of side AB):

((2 – 10) / 2; (-4 – 2) / 2; (2 + 14) / 2) = (-5; -3; 8).

Then the vector CK is equal to:

CK = ((-5 – 0); (-3 – (-3); (8 – 5)) = (-5; 0; 3).

The length of the CK vector will be:

| CK | = √ ((- 5) ^ + 0 ^ 2 + 3 ^ 2) = √ (25 + 9) = √34.

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