lbhpotosme lbhpotosme

09-02-2021
Mathematics

contestada

In the accompanying diagram ab is tangent to circle O at B and ACD is a secant.

If AB=9 and AD=27, find AC

In the accompanying diagram ab is tangent to circle O at B and ACD is a secant If AB9 and AD27 find AC class=

Respuesta :

akposevictor akposevictor

14-02-2021

Answer:

AC = 3

Step-by-step explanation:

Based on tangent and secant theorem, thus:

AB² = AC × (AC + CD)

AB = 9

AD = AC + CD = 27

Plug in the values

9² = AC × (27)

81 = AC × 27

Divide both sides by 27

81/27 = AC

3 = AC

AC = 3

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