Question

What is DC if AC = 10 cm, BC = 6 cm, and EC = 12 cm? using the options below

Answer 1

The answer is A. Or 5 cm.

Hope this helps,

kwrob

Answer 2

To solve this question we will use a theorem called the intersecting secant theorem which states that "if 2 secants of a circle intersect outside the circle then product of their segments are equal".

Thus, applying this theorem in this question we see that:$AC\times BC=EC\times DC$

Thus, $10\times 6=12\times DC$

Thus, $DC\frac{10\times 6}{12}=5 cm$

Thus, out of the given options, the first option is the correct option.