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Question from Raj, a student:

AB and CD are two chords which are in the same side of the circle.The length of AB=12 and CD= 24.if the distance between them is 4 then find their radius. Pls help me I just believe on you guys I am having my exam after 3 days

Hi Raj,

I drew a diagram.

chords

Use Pythagoras' theorem and triangle $DEC$ to write a realtionship between $r$ and $x.$

Use Pythagoras' theorem and triangle $ABC$ to write a realtionship between $r$ and $ x.$

Solve for $x.$

Penny

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