NTSE Sample Paper NTSE SAT Practice Test-17

  • question_answer
    The perimeter of a triangle is 30 cm and the circumference of its incircle is 88 cm. The area of the triangle is

    A) 70\[c{{m}^{2}}\]                    

    B) 140\[c{{m}^{2}}\]

    C) 210\[c{{m}^{2}}\]   

    D)        420\[c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Area of the triangle = \[\frac{1}{2}\] perimeter \[\times \] radius \[2\,\pi r=88\]so \[r=\frac{88}{2\times \frac{22}{7}}=14\] \[\therefore \] Area of the triangle \[=\text{ }14\times 15=210\]cm2 


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