SOLUTION: angle AOT = angle ABT = 90° |AO| =3cm, |OT| =18cm. calculate the value of |AB| and angle O.

Question 1132347: angle AOT = angle ABT = 90° |AO| =3cm, |OT| =18cm. calculate the value of |AB| and angle O.

Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

The measure of angle O is given -- it is 90 degrees.

The length of AB cannot be determined from the given information.

With the given information that AOT and ABT are both right angles (90 degrees), we can conclude that ABOT can be viewed as a quadrilateral inscribed in a circle with diameter AT, because arcs AOT and ABT would each be 180 degrees.

But while the position of point O is fixed by the given information about the lengths of AO and OT, the position of point B is not fixed; therefore the length of AB can't be determined.
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