+0  
 
-1
92
1
avatar

Two squares are inscribed in a semi-circle, as shown below.  Find the radius of the semi-circle.

 

 Apr 25, 2022
 #1
avatar+124596 
0

We have this sytem

 

(x + y + 25)  =  2r  

 

( r - x)^2  + 15^2  =  r^2        

 

(r - y)^2  +  10^2  = r^2    

 

Solving this  system produces

 

r = 5sqrt (13)   x = 5sqrt (13)  - 10      y = 5sqrt (13)  - 15

 

 

 

cool cool cool

 Apr 25, 2022

21 Online Users