The radius of circle o is 32 and oc=12 what is the length of ab

58.5
59.3
68.4
29.7

1 answer

To find the length of ab, we first need to find the length of segment ac using the Pythagorean theorem.

ac^2 = oa^2 - oc^2
ac^2 = 32^2 - 12^2
ac^2 = 1024 - 144
ac^2 = 880
ac = √880
ac ≈ 29.7

Now, since ac divides ab into two equal parts in the right angle triangle, the length of ab is twice the length of ac.

ab = 2 * ac
ab = 2 * 29.7
ab ≈ 59.3

Therefore, the length of ab is approximately 59.3.