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In $\triangle ABC$, what is the value of $x + y$?

 

 Jan 6, 2024
 #1
avatar+126607 
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The triangles look to be similar  such that  Δ BCA  similar to Δ VWA

 

CA / BC  =  WA/ WV

 

28  /16  = WA  / 10

 

WA  = (28 * 10)   /16 =   17.5   = x

 

And

 

AB / CB  =  AV / VW

 

AB / 16 = 12  /10

 

AB =  (16 * 12)  / 10  =  19.2 =   y

 

x + y =   17.5  +  19.2 =   36.7 

 

 

cool cool cool

 Jan 6, 2024

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