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We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?

 Jun 2, 2024
 #2
avatar+1950 
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We knowt hat AK is the altitude, so we have

AK=AC2CK2=8232=55 from the pythagorean theorem. 

 

We can now find AB, with

AB=AK2+BK2=55+4=59

 

so AB is 59

 

Thanks! :)

 Jun 2, 2024

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