geometry help plzzzz(21-27)

Mathematics
Tutor: None Selected Time limit: 1 Day

Dec 5th, 2014

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 

Dec 5th, 2014

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