Two adjacent sides of a parallelogram are 3.2cm  and 4cm. What is the ratio of their altitudes.

Asked by Balinder123 | 7th Jan, 2019, 11:53: AM

Expert Answer:

 
 
Area of a Parallelogram = Base × Height
 
From the figure,
 
Area of a Parallelogram = Base × Height = AB × CE = 3.2 × CE    ...(1)
Area of a Parallelogram = Base × Height = BC × AF = 4 × AF    ...(2)
 
From (1) and (2)
3.2 × CE = 4 × AF
 
begin mathsize 16px style CE over AF space equals space fraction numerator begin display style 4 end style over denominator begin display style 3.2 end style end fraction end style
Therefore the ratio of the altitudes is 4: 3.2

Answered by Yasmeen Khan | 7th Jan, 2019, 01:23: PM

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