MathematicsIf AB = 12 cm, BC = 16 cm, and AB is perpendicular to BC, then what is the radius of the circle passing through the points A, B and C:

If AB = 12 cm, BC = 16 cm, and AB is perpendicular to BC, then what is the radius of the circle passing through the points A, B and C:


  1. A
      20 cm
  2. B
      25 cm
  3. C
    10 cm
  4. D
    30 cm 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Given that,  and AB⊥BC  .   Drawing figure using given data:
    Pie chart Description automatically generatedFrom the figure ABC   is a right-angled triangle so, applying Pythagoras theorem:
    AC 2 = AB 2 + BC 2   AC 2 = 12 2 + 16 2    AC 2 =400    AC =±20   AC = 20 as the value of length cannot be negative.
    Assuming r   is the radius of the circle,
    Then r= 1 2 ×AC  .
    r= 1 2 ×20  
    r = 10 cm
    Hence, option 3 is correct.
     
    Chat on WhatsApp Call Infinity Learn