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What is the value of y?

 

 Sep 1, 2020
 #1
avatar+1039 
+2

In my opinion, there's no point of that extra triangle, maybe just there as a red herring...

 

Anyways, we can use the Pythagorean theorem on 12 and 6 to get y.

 

We know that:

 

a+ b= c2

 

Here is a lovely little picture that could help you wrap your mind around how it works:

 

 

So, what does this tell us? Well,  now we know this now:

 

12= 6+ y2
 

This now means:

 

144 = 36 + y2

 

Simplify:


108 = y2

 

Which means:

 

y = sqrt(108) = 6sqrt(3)

 

:)

 Sep 1, 2020

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