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Coplanar squares abgh and bcdf are adjacent, with cd=10 units and ah=5 units. point e is on segments ad and gb what is the area of triangle abe, in square units? express your answer in a common fraction.

 May 22, 2020
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To find the area of triangle(ABE), we can use the formula  A  =  ½·base·height.

We can use AB for the base.

Since AH = 5 and ABGH is a square, AB = 5.

 

To find BE:  

  -- since AB = 5 and BC = 10, point B is 1/3rd the distance from A to C.

  -- likewise, BE will be 1/3rd the distance from C to D

  -- since CD = 10, BE  =  (1/3)·10  =  10/3

 

So, the area of triangle(ABE)  =  ½·(5)·(10/3)  =  8 1/3.

 
 May 22, 2020

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