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Had to make it smaller to be able to write this to even be able to post it

 May 4, 2018
 #1
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Looking at the triangle on the left, we can write its base as 50 - x

 

And, using the Pythagorean Theorem , we can solve this :

 

(50 - x)^2  + 30^2  =  x^2       simplify

 

x^2 - 100x + 2500 + 900 = x^2       subtract x^2  from both sides

 

-100x  +  3400  =  0

 

3400 = 100x       divide both sides by 100

 

34  =  x  =  AB

 

 

cool cool cool

 May 4, 2018

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