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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-31

  • question_answer
    \[\Delta ABC\]and\[\Delta DEF\]are similar and their areas be respectively \[64\,\,c{{m}^{2}}\] and \[121\,\,c{{m}^{2}}.\] If EF = 15.4 cm. BC is

    A)  12.3 cm           

    B)  11.2 cm

    C)  12.1 cm           

    D)  11.0 cm

    Correct Answer: B

    Solution :

    \[\frac{\Delta \,\,ABC}{\Delta \,\,DEF}=\frac{64}{121}=\frac{B{{C}^{2}}}{E{{F}^{2}}}\] \[\Rightarrow \]   \[\frac{8}{11}=\frac{BC}{EF}\Rightarrow \frac{8}{11}=\frac{BC}{15.4}\] \[\Rightarrow \]   \[BC=\frac{8\times 15.4}{11}=11.2\,\,cm\]


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