+0  
 
+1
4
2
avatar+1037 

A square is inscribed in a right triangle, as shown below. The legs of the triangle are 1 and 3. Find the area of the square.

 

 Mar 3, 2024
 #1
avatar+2 
+1

Are you sure it is a square and not a rectangle...

 Mar 3, 2024
 #2
avatar+128406 
+1

Side of the square  =  

 

(product of the leg lengths)  / ( sum of leg lengths)  = 

 

[ 1 * 3 ]  / [ 1 + 3] =  

 

3/4

 

Area  = (3/4)^2   = 9/16

 

cool cool cool

 Mar 3, 2024

3 Online Users