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In two  triangles , the ratio of the areas is  4 : 3 and he ratio  of their height is  3 : 4 . Find the ratio of their bases.


Options:
A .  16 : 9
B .  12 : 9
C .  13 : 8
D .  15 : 9
Answer: Option A

Let the bases of the two triangles  be `x` and y  and their height  be 3 h and  4h  respectively   Then ,

`(1/2 xx x xx 3h)/(1/2 xx y xx 4y) =  4/3`

`hArr    x/y =  (4/3 xx 4/3)`

`hArr      x/y = 16/9`

`:.`     Required ratio = 16 : 9 .



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