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In this diagram, circle A has radius = 4.9 and DC = 8.1. BC is tangent line, calculate the distance of BC.

1 Answer

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We have a tangent line that means the m

we have

AB= radius=4.9

AC=AD+DC=4.9+8.1=13

Because we have that m


c^2=a^2+b^2

where

a=AB=4.9

b=?=x

c=AC=13

we substitute the values


\begin{gathered} b=\sqrt[]{13^2-4.9^2} \\ b=\sqrt[]{169-24.01} \\ b=\sqrt[]{144.99} \\ b=12.04 \end{gathered}

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