Question 1028878
*[illustration hypo]




(x+6)^2+(x+12)^2=(12+6)^2


x^2+12x+36+x^2+24x+144=324


2x^2+36x+180=324

2x^2+36x-144=0

/2
x^2+18x-72=0

Find the roots of the equation by quadratic formula							
							
a=	1	b=	18	c=	-72		
							
b^2-4ac=	324	-	-288				
b^2-4ac=	612			{{{sqrt(	612	)}}}=	24.74
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}							
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}							
x1=(	-18	+	24.74	)/	2		
x1=	3.37						
x2=(	-18	-24.74	) /	2			
x2=	-21.37						
Ignore negative value						
x	=	3.37					

The legs are 9.37cm & 15.37cm