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    

Hint:

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.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.