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The sides of a right angled triangle measured to the nearest cm are 5cm, 12cm and 13cm
Determine the

  1. limits within which the measured dimensions lie 
  2. percentage error in the area of the triangle. 

1 Answer

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  1. Upper limits      Lower limits
           5.5                 4.5
          12.5                11.5
          13.5                12.5  
  2. Actual area = ½ × 5 × 12 =30cm2
    Max area   = ½ × 5.5 × 12.5 =34.375
      Min area  =½ × 4.5 × 11.5 =25.875       M1
         % error = 34.375 − 25.875  × 100      M1
                                    2            
                                   30    
                   =14.17%  
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