2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Triangles

10th Class Mathematics Triangles Question Bank MCQs - Triangles

  • question_answer
    If \[\Delta ABC\tilde{\ }\Delta APQ\] and \[ar(\Delta APQ)=4ar(\Delta ABC),\] then the ratio of \[BC\]to \[PQ\] is:

    A) \[2:1\]

    B) \[1:2\]

    C) \[1:4\]

    D) \[4:1\]

    Correct Answer: B

    Solution :

    [b] Since, \[\Delta ABC\tilde{\ }\Delta APQ\]
    \[\frac{ar(\Delta ABC)}{ar(\Delta APQ)}=\frac{B{{C}^{2}}}{P{{Q}^{2}}}\,\,\,\Rightarrow \,\,\frac{ar(\Delta ABC)}{4\cdot ar(\Delta ABC)}=\frac{B{{C}^{2}}}{P{{Q}^{2}}}\]
    \[{{\left( \frac{BC}{PQ} \right)}^{2}}=\frac{1}{4}\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,\frac{BC}{PQ}=\frac{1}{2}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner