Calculate the length of sides x and y

[MatixCraft]

I attach a photo with polygon. For this example, the results are: y=9,5+√19 and x=19-0,5√19. What's the shortest way to calculate x and y?

 

[Deleted member 4993]

I attach a photo with polygon. For this example, the results are: y=9,5+√19 and x=19-0,5√19. What's the shortest way to calculate x and y?View attachment 31013

Please share your way of arriving at those answers and then we can assist you to improve on it!

 

[MatixCraft]

a²+b²=25
x²+y²=475
x+a=20
y-b=10
Is it shortest way to calculate x and y?