MathematicsIf AB=28cm   and BC=45cm  , then what is the length of AC?  

If AB=28cm   and BC=45cm  , then what is the length of AC?
 


  1. A
    80 cm
  2. B
    76 cm
  3. C
    53 cm
  4. D
    64 cm

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    Solution:

    By using “the sum of the measures of all the angles of a triangle is  180  ”, we get
    A+B+C= 180 51.5+38.5+C=180 C=18090 C= 90  
    Since the angle is 90  , then it is a right-angled triangle with hypotenuse AC.
    So, by using Pythagoras theorem, we get
    A C 2 =A B 2 +B C 2 = 28 2 + 45 2 =2809 AC= 2809 AC=53cm  
    Hence, the correct option is 3.
     
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