C cw86 May 2010 8 0 May 13, 2010 #1 I need to know how to calculate the length of radius a with only knowing the length of radius b and the value of variable x in the picture below

I need to know how to calculate the length of radius a with only knowing the length of radius b and the value of variable x in the picture below

B bjhopper Nov 2007 985 175 Trumbull Ct May 13, 2010 #2 cw86 said: I need to know how to calculate the length of radius a with only knowing the length of radius b and the value of variable x in the picture below View attachment 16837 Click to expand... Hi cw86, Tangent at E is perpendicular to AE and BE therefore AEB is a straight line.Draw aline parallel to line x thru B. ( a+b)^2= ( a-b)^2 +x^2 Solution of this equation gives 4ab =x^2 x= sqrt 4ab= 2sqrt ab bjh

cw86 said: I need to know how to calculate the length of radius a with only knowing the length of radius b and the value of variable x in the picture below View attachment 16837 Click to expand... Hi cw86, Tangent at E is perpendicular to AE and BE therefore AEB is a straight line.Draw aline parallel to line x thru B. ( a+b)^2= ( a-b)^2 +x^2 Solution of this equation gives 4ab =x^2 x= sqrt 4ab= 2sqrt ab bjh