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


Options:
A .  16:9
B .  9:16
C .  3:4
D .  4:3
Answer: Option A

Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively.
((1/2) X x X 3h)/(1/2) X y X 4h) =4/3
x/y =(4/3 X 4/3)=16/9
Required ratio = 16 : 9.



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