Respuesta :

mhanifa

Answer:

  • 8 units

Step-by-step explanation:

Let the center of the circle be point O.

Then

  • EC + EO = 13
  • EC = 13 - EO

The length of EO is the side of triangle OEB.

Use Pythagorean theorem:

  • EO² + EB² = OB²
  • EO² + 12² = 13²
  • EO² = 169 - 144
  • EO² = 25
  • EO = √25
  • EO = 5

Find the value of  EC:

  • EC = 13 - 5 = 8