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In the right-angled triangle (ABC), the height divides CD and the hypotenuse AB in the ratio 3: 2. Calculate the relationship(Ratio) between height and hypotenuse exactly, as simple as possible

Guest Jun 9, 2017
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 #1
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We have that

 

AD/DC  = DC/DB

 

3/DC = DC/2     simplify

 

6  = DC^2      take the square root of both sides

 

√6  = DC

 

Ratio between height and hypotenuse  =

 

√6 / 5

 

Here's a pic :

 

 

 

 

cool cool cool

CPhill  Jun 10, 2017

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