nadiav28 nadiav28
  • 17-12-2018
  • Mathematics
contestada

ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6

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gmany
gmany gmany
  • 28-12-2018

Look at the picture.

We must use the Pythagorean theorem:

[tex]AB^2+OB^2=AO^2\\\\5^2+r^2=8.6^2\\\\25+r^2=73.96\qquad\text{subtract 25 from both sides]\\\\r^2=48.96\to r=\sqrt{48.96}\\\\\boxed{r\approx7}[/tex]

Answer: The radius is equal 7.

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