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AB is a radius.  Line CD is tangent to circle A at point B.  AB = 5 ft and EC = 8 ft.

BC = ___ ft

 Apr 13, 2021
 #1
avatar+420 
+2

Notice that AC is equal to the sum of the radius and EC. We know that AB is the radius, and AB is 5 ft, so AC must be equal to 5 ft + 8 ft = 13 ft.

Since BC is tangent to circle A, AB is perpendicular to BC, so ABC is a right triangle. 

Let BC equal x. To find BC, use the Pythagorean theorem:

\(5^2+x^2=13^2\\25+x^2=169\\x^2=144\\x=\boxed{12}\)

 Apr 13, 2021
 #3
avatar+114087 
0

please make a new post for a new question.  Thanks

 Apr 13, 2021

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