3 circles each of radius 1 cm, touch each other externally and they lie between two parallel lines. Find the minimum possible distance between the lines.

Asked by acv27joy | 15th Dec, 2018, 04:30: PM

Expert Answer:

As shown in figure, distance between two parallel lines is divided into three segments, AB, BC and CD
BC = RS = begin mathsize 12px style square root of R Q squared minus R S squared end root space equals space square root of 3 space end root space c m end style
AD = AB+BC+CD = 1 + √3 + 1 = ( 2+√3 ) cm

Answered by Thiyagarajan K | 15th Dec, 2018, 10:59: PM

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