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MrGumby
26. 
You can solve this using the Pythagorean Theorem. The length of AC = 10 and the length of AE = 24. These are your two legs. Square both and then add them together. Then take the square root to get your answer. 
thaovtp1407

Answer:

EC =26

Step-by-step explanation:

Because AE is tangent of B so BA ⊥ AE (one of the properties of a tangent line with a circle)

=> The triangle ACE is a right triangle

As given:

  • BC = 5 => AC = 10 (the diameter of the circle)
  • AE = 24

Use the pytagon theorem to find EC

[tex]EC^{2} = AC^{2} + AE^{2}[/tex]

= [tex]10^{2} + 24^{2}[/tex]

= 676

<=> EC = [tex]\sqrt{676} = 26[/tex]