Question

Two secants are drawn from an exterior point A. Secant AC first intersects the circle at point B and secant AE firstintersectsthecircleatpointD.If AB10, AD12,and AC24,thenwhichofthefollowingis

the length of DE ?

Answer 1

just for extra help incase anyone needs this :)

Explanation:

I will put a chart circle formulas that could be useful.

Answer 2

DE = 8 units.

Explanation:

By the External Secants Theorem

AC * AB = AE * AD

24 * 10 = AE * 12

AE = 240 / 12 = 20

So DE = AE - AD = 20 -12 = 8.