SOLUTION: What is the value of x? The image is in the link: http://prntscr.com/dhjwpr

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Question 1060917: What is the value of x?
The image is in the link: http://prntscr.com/dhjwpr
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!

The line segment in the middle of the figure is the hypotenuse of both right triangles.
According to the Pythagorean theorem it's length is
sqrt%28%28sqrt%2814%29%29%5E2%2B%28sqrt%286%29%29%5E2%29=sqrt%2814%2B6%29=sqrt%2820%29 .
It is also
sqrt%2820%29=sqrt%28x%5E2%2B%28sqrt%285%29%29%5E2%29=sqrt%28x%5E2%2B5%29
That gives us the equation
sqrt%2820%29=sqrt%28x%5E2%2B5%29 and we can solve that equation for x :
20=x%5E2%2B5
20-5=x%5E2
15=x%5E2
highlight%28x=sqrt%2815%29%29