Question

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:

Options

• 6 cm

• 17 cm

• (289-9-2) cm

• 11 cm

Answer 1

17 cm

Explanation:

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 = `sqrt(289)` = 17 cm.