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In the diagram at right, has a radius of feet and has a radius of feet. is tangent to both and . If feet, what is ?  

Use the given information to find the length of the hypotenuse of .

How can you use the radius of each circle to determine the length of ?

Notice that the length of the dotted line is equivalent to .


Two circles, left with center M, and radius, M, E, right with center A, and radius, A, r. Line E R is tangent to both circles, intersecting left circle at, E, and right circle at, r. Centers M and A are connected by a line segment which intersects left circle at, N, and right circle at, c. A dashed segment from, A, perpendicular to segment, M, E, at point, b.