Respuesta :

If the length of OA is 1.80 units. Then the length of segment AB will be 0.80 units.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Line AC is perpendicular to the circle centered at O with a radius of 1 unit. The length of AC is 1.5 units.

The figure is shown below.

Then the length of segment AB will be

AB = OA - OB

AB = OA - 1

Then the OA will be

OA² = OC² + AC²

OA² = 1² + 1.5²

OA² = 1 + 2.25

OA² = 3.25

OA = 1.80 units

Then we have

AB = 1.80 - 1

AB = 0.80 units

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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