+0  
 
0
28
1
avatar

Square BCFE is inscribed in right triangle AGD, as shown below. If AB = 28 units and CD = 56 units, what is the area of square BCFE?

 

 Jan 5, 2021
 #1
avatar+114361 
+1

Let S  be the side of the square

 

Note  that triangle   ABE  is similar to triangle FCD

 

So

 

AB/ EB   = FC / CD

 

28/ S  = S / 56    cross-multiply

 

S^2  = 28 * 56  =  1568   = area of square  BCFE

 

 

cool cool cool

 Jan 5, 2021

18 Online Users

avatar