A) \[{{h}_{1}}=2{{h}_{2}}=3{{h}_{3}}\]
B) \[{{h}_{1}}=\frac{{{h}_{2}}}{3}=\frac{{{h}_{3}}}{{{h}_{5}}}\]
C) \[{{h}_{2}}=3{{h}_{1}}\] and \[{{h}_{3}}=3{{h}_{2}}\]
D) \[{{h}_{1}}={{h}_{2}}={{h}_{3}}\]
Correct Answer: B
Solution :
The relation between \[{{h}_{1}},{{h}_{2}}\] and\[{{h}_{3}}\] is \[{{h}_{1}}=\frac{h}{3}=\frac{{{h}_{3}}}{5}\] \[\Rightarrow \] \[{{h}_{1}}:{{h}_{2}}:{{h}_{3}}=1:3:5\]
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