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.  Select
A) 2:3  B) 4:5  C) 16:9  D) 7:9  E) 8:5
Sol. Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively.   Then,   ((1/2) X xX 3h)/(1/2) X y X 4h) =4/3  x/y =(4/3 X 4/3)=16/9   Required ratio = 16 : 9.   Ans: 16:9
<result>C</result>
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.