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What does BD equal to?​

 

 Mar 31, 2021
 #1
avatar+150 
+1

CA=202+162=656

BD2+202=BA2

AC2+BA2=(DC+BD)2 =>656+(BD2+202)=(16+BD)2

656+BD2+400=256+32BD+BD2

1056256=800=32BD

BD=25

 Mar 31, 2021
 #2
avatar+130466 
+1

Thanks, James

 

Another  method

 

We  have  the relationship that

 

BD / AD  = AD  /  DC

 

BD / 20  =  20 / 16           cross-multiply

 

16 BD  =  20 * 20

 

16 BD  =  400

 

BD  =  400  /16     =   25

 

 

cool cool cool

 Mar 31, 2021
 #3
avatar+1693 
+2

BD = 20(20 / 16) laugh

 Mar 31, 2021

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