Seudónimo Seudónimo
  • 09-03-2019
  • Mathematics
contestada

A circle k(O) with the radius r is given. Line AB tangent to circle k(O) at B. Find AB, if OA= 2 cm, and r=1.5 cm.

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sqdancefan
sqdancefan sqdancefan
  • 17-03-2019

Answer:

  (√7)/2 ≈ 1.323

Step-by-step explanation:

ΔABO is a right triangle with its right angle at B. Hypotenuse OA is 2, leg OB is 1.5, so leg AB will be given by the Pythagorean theorem as ...

  AB = √(OA² -OB²) = √(2² -1.5²) = √1.75

  AB = (√7)/2 ≈ 1.323

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