Question

If line AC=12, line BC=3, find line CE
https://media.glynlyon.com/g_geo_2012/7/group178.gif

Answer 1

In the given figure.
AC is thesecant and CE is the tangent to the circle a at point E. Hence by using tangent, secant property we find:

\[CE^2=AC \times BC \rightarrow CE^2=12 \times 3 \rightarrow CE^2=36\]
\[\rightarrow CE= \sqrt{36} \rightarrow CE= 6\]
Hence CE = 6 units.

@zeppgirl

Answer 2

Thanks so much! I had totally forgotten that tangent secant formula.