Mathematics
Grade6
Easy

Question

15 cm height triangular board has an area fraction numerator 345 over denominator 2 end fraction text c end text text m end text to the power of 2 end exponent. Find the length of its base.

  1. 13 cm    
  2. 12 cm    
  3. fraction numerator 23 over denominator 2 end fraction cm    
  4. fraction numerator 21 over denominator 2 end fraction cm    

hintHint:

Using the formula area of triangle = 1 half cross times b cross times h ,Area and height of triangle is given find the length of base.

The correct answer is: fraction numerator 23 over denominator 2 end fraction cm


    Area of a triangular board equals fraction numerator 345 over denominator 2 end fraction text c end text text m end text to the power of 2 end exponent open parentheses fraction numerator 1 over denominator 2 end fraction h b close parentheses
    Height of the triangular board = 15cm
    Using the formula area of triangle = 1 half cross times b cross times h
    The base of the triangle = 2 cross times fraction numerator text area of triangle end text over denominator text height end text end fraction
    equals 2 cross times 345 over 2 divided by 15
    equals 345 cross times 1 over 15 open parentheses text reciprocal of 15 is  end text fraction numerator 1 over denominator text 15 end text end fraction close parentheses
    equals 23 spacecm
    Therefore, Length of base of triangle is 23 cm.

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