Properties of Circles - Tangent (HELP!!)
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Properties of Circles - Tangent (HELP!!)

[From: ] [author: ] [Date: 11-09-15] [Hit: ]
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In the diagram, H and K are the centres of two circles whose radii are 3 cm and 5 cm respectively. The two circles touch each other at C and TN is a common tangent to the circles at A and B. Find the length of AB.

Diagram --> http://img849.imageshack.us/img849/6349/…

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HK=3+5=8

BK-AH=5-3=2

AB=√(HK²-(BK-AH)²)=√(8²-2²) =2√15
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