9th Class Mathematics Triangles Question Bank Triangle

  • question_answer
    Let ABC is triangle right angled at B. If AB = 12 cm and BC = 9 cm then what is the length of the circumradius of the \[\Delta \mathbf{ABC}\]?

    A)  10 cm                         

    B)  7 cm          

    C)  6 cm                           

    D)  7.5 cm

    Correct Answer: D

    Solution :

    (d): \[\Delta ABC\] is right angled at B Using Pythagoras theorem, \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] \[\therefore \]\[AC=15cm\] And in case of right angled triangle, radius lies on hypotenuse and is the circumcircle of \[\Delta ABC.\] \[\therefore \]Radius of circumcircle \[=\frac{15}{2}=7.5\] cm


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