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10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    A \[\Delta \,PQR\] inscribes a circle as shown. Let points of tangency be L, M, N. If PQ = 6 inch, QR = 8 inc, RP = 10 inch, then PL + QM + RN =­­­­­­­­­­­­___________

    A)  24 inch                        

    B)  30 inch                      

    C)  15 inch                        

    D)  12 inch   

    Correct Answer: D

    Solution :

    (d): PL = PN, QL = QM; RM = RN \[\Rightarrow \]\[PL+QM+RN=\frac{1}{2}(PQ+QR+RP)\]                         \[=\frac{1}{2}(6+8+10)\]                         \[=12\]inch


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