jrub1233 jrub1233
  • 04-05-2018
  • Mathematics
contestada

AB is tangent to circle O at B. Find the length of the radius, r, for AB = 5 and AO = 13.

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sqdancefan
sqdancefan sqdancefan
  • 08-05-2018
ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12

The radius (r) is 12.
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Risa290
Risa290 Risa290
  • 06-10-2018

the radius is twelve

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