Question

AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help

Answer 1

Answer:

I think it is 5 units

Step-by-step explanation:

Lemme know if you need more help! :))

Answer 2

Answer:

AC = 4 units

Step-by-step explanation:

$OB = OC = 3 (Radii \:of \:same \:circle) \\OA = OB + AB = 3 + 2 = 5\\OA \perp AC.. (tangent\: \perp radius) \\\therefore m\angle OCA = 90\degree$

By Pythagorean theorem:

$AC^2 = OA^2 - OC^2 \\= 5^2 - 3^2 \\= 25-9\\= 16\\AC =\pm \sqrt{16}\\AC = \pm 4$

Since, side of a triangle can't be negative.

Therefore, AC = 4 units