7th Class Mathematics Congruence of Triangles Question Bank Congruence of Triangles

  • question_answer
    The given figure shows \[\Delta \,ABC\] with equal altitudes BE and CF. What is the perimeter of \[\Delta \,ABC\]?

    A)  19 cm                        

    B)  21 cm        

    C)  24 cm           

    D)  25 cm

    Correct Answer: B

    Solution :

    (b): Perimeter \[=AB+BC+CA:BC\] is already known \[=6\text{ }cm\] From \[\Delta BCF,\,\,CF=\sqrt{{{6}^{2}}+{{3}^{2}}}=3\sqrt{3}=BE\] In  \[\Delta \,BEA,\,\,AB=\sqrt{{{45}^{2}}{{\left( 3\sqrt{3} \right)}^{2}}}\] Similarly, find CA and add \[AB+BC+CA\]


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