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Two circles of radii 10 cm and 17 cm intersect, and their centres are 21 cm apart. What is the length of the common chord?

Competition practiceGeometry

A8 cm
B12 cm
C20 cm
D16 cm

Step-by-Step Solution

With half-chord

h : a + b = 21, b^{2} - a^{2} = 289 - 100 = 189

, so

b - a = 9, a = 6, h = 100 - 36 = 8

. Chord

= 16

cm.

Answer: D) 16 cm

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