Discussion

Explanation:

We know that length of the line joining the mid-points of two sides of a triangle is half the length of third side. Hence, the required length is half the length of side AC. Since EADF is rectangle, EF = AD = 8.
CD = (22 – 16) = 6.
So in the right-angled ΔADC, AD = 8 and CD = 6.
Therefore, AC = 10. Hence, length of the line joining the mid-points of AB and BC = 12(10) = 5.

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