A) ac: bd
B) ad : be
C) bd: ac
D) be: ad
Correct Answer: A
Solution :
Given ration of the bases of two triangles, \[{{b}_{1}}:{{b}_{2}}\]is \[{{b}_{1}}:{{b}_{2}}\]is \[a:b\]and the ration of their corresponding altitudes. \[{{h}_{1}}:{{h}_{2}}=c:d\] \[\therefore \]Ratio of areas \[=\frac{\frac{1}{2}{{b}_{1}}{{h}_{1}}}{\frac{1}{2}{{b}_{2}}{{h}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\times \frac{{{h}_{1}}}{{{h}_{2}}}\] \[=\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}=ac:bd\]
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