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Determine the value of A

 Mar 28, 2022
 #1
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Draw XY.

This creates right triangle(WXY).

By the Pythagorean theorem, WY  =  4·sqrt(2).

Since triangle(WXY) is an isosceles right triangle, angle(XYW) = 45o.

This makes angle(ZYW) = 90o.

Use the Pythagorean Theorem:  WZ2  =  WY2 + YZ2.

--->     92  =  [ 4·sqrt(2) ]2 + a2

 

Finish this to get the answer ...

 Mar 28, 2022

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