here we use mid-point theorem , line joining mid points of two sides of a triangle is half the third side .

21. 54 = 0.5*3n

54 = 1.5n

n = 54/1.5 = 540/15

n = 36

22. n - 9 = 0.5*35

n = 17.5 +9

n = 26.5

23. 4n + 5 = 0.5*74

4n = 37 - 5

n = 32/4 = 8

24. 9.5 = 0.5*(2n - 23)

9.5 = n - 11.5

n = 9.5 + 11.5 = 21

25. n + 8 = 0.5*6n

n + 8 = 3n

3n - n = 8

2n = 8

n = 8/2 = 4

26. 5n = 0.5*(8n + 10)

5n = 4n + 5

5n - 4n = 5

n = 5

27. A is correct as it's DE = 0.5BC

in B it's given BC = 0.5DE

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