AO = 5 AB = 12 Find x

Mathematics

1 answer:

viktelen [127]4 years ago

4 0

Angle OAB is a right angle, since line AB is tangent to the circle at A. Thus, triangle AOB is a right triangle.

Applying the Pythagorean Theorem: 5^2 + 12^2 = |OB|^2

Then |OB|^2 = 13^2, and |OB| = 13.

We find x by subtracting |OC| from 13: 13 - 5 = 8.

Line segment has length 8; x = 8.

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