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can someone help me with this? thank you

 Apr 3, 2018
 #1
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The right angle at the bottom right sets up the following relationship

 

4 / y = y / 16     cross-multiply

16 * 4  =  y^2

64  = y^2     take the square root of both sides

8  = y

 

So....using the Pythagorean Theorem, we have that

 

z^2  = 4^2 + y^2

z^2  = 16  + 8^2

z^2  =  16  + 64

z^2  = 80       take the square root of both sides

z  = √80

 

If you want to simplify this :

z  = √ [16 * 5 ]

z = √16   * √5

z = 4√5

 

 

cool cool cool

 Apr 3, 2018
edited by CPhill  Apr 3, 2018

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