. What are circle theorems and how can they be used to solve problems? Apply the Theorems to Solve Problems Use the sketch of the picture for each problem to choose a theorem, set up an equation, and then solve. 1. Chords 5 and 6D intersect inside a circle at point B. AE= 2, CE=4,andED =3. Find EB. 2. A diameter of a circle is perpendicular to a chord Whose length is 12 inches. If the length of the shorter segment of the diameter is 4 inches, what is the length of the longer segment of the diameter? 3. Chords 3 and E intersect inside a circle at point B. AE= 5, CE =10, EB =x, and ED = x-4. Find EB and ED. 4. Two secant segments are drawn to a circle from a point outside the circle. The external segment of the rst secant segment is 8 centimeters and its internal segment is 6 centimeters. If the entire length of the second secant segment is 28 centimeters, what is the length of its external segment