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In the figure, angles $ABC$ and $AST$ are right angles. If $AC = 35$, $AT = 11$, and $BT = 10$, then what is $AS$?

 Jul 9, 2021
 #1
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Note that  triangles  ABC  and  AST  are similar  

 

So

 

AT  /  AC    =   AS / AB

 

11 / 35   =   AS   / ( AT + BT)

 

11/  35   =  AS /  ( 11  + 10)

 

11 /  35 =  AS  /  21          cross-multiply

 

21 * 11  =  35 * AS

 

21 * 11   /  35   =   AS   =  33/5   =   6.6

 

 

cool cool cool

 Jul 9, 2021

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