The ratio of the areas of two similar triangles is 4:9. Find the ratio of their corresponding medians.

Question

anonymous · Answer

2:3

anonymous · Answer

ratio area=$$(ratio,sides)^{2}$$

anonymous · Answer

areas of two similar triangles are in the ratio of the squares of their corresponding medians

area of triangle1       (median of 1)^2
-------------- = ----------------
area of triangle 2       (median of 2)^2

here     4          (median of i)^2
          ---- = ---------------
             9          (median of 2)^2

or         2^2         (median of i)^2
           -----  =  ---------------
             3^2         (median of 2)^2

=>         2            (median of i)
           -----  =  ---------------
               3           (median of 2)

so the ratio of medians is 2:3

anonymous · Answer

http://openstudy.com/groups/mathematics/updates/4df51a390b8b370c28bc9d35

anonymous · Answer

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