Mathematics
A, B and C are three circles which touch each other as shown. Using the information, given in the diagram, we find the length AB as :
6 cm
17 cm
(289 - 9 - 2) cm
11 cm
Circles
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Answer
From figure,
AC = 9 + 6 = 15 cm
BC = 2 + 6 = 8 cm
In right angle triangle ACB,
⇒ AB2 = AC2 + BC2
⇒ AB2 = 152 + 82
⇒ AB2 = 225 + 64
⇒ AB2 = 289
⇒ AB = = 17 cm.
Hence, Option 2 is the correct option.
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